Scroll:Measurement >> Area of Triangle >> ps (1515)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 60cm.
What is the area of the triangle 




cm2


Answer:_______________




2)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 216cm.
What is the area of the triangle 




cm2


Answer:_______________




3)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 144cm.
What is the area of the triangle 




cm2


Answer:_______________




4)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 264cm.
What is the area of the triangle 




cm2


Answer:_______________




5)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 108cm.
What is the area of the triangle 




cm2


Answer:_______________




6)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 96cm.
What is the area of the triangle 




cm2


Answer:_______________




7)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 180cm.
What is the area of the triangle 




cm2


Answer:_______________




8)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 120cm.
What is the area of the triangle 




cm2


Answer:_______________




9)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 72cm.
What is the area of the triangle 




cm2


Answer:_______________




10)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 288cm.
What is the area of the triangle 




cm2


Answer:_______________




 

1)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 60cm.
What is the area of the triangle 




Answer: 150 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 60 cm

             1 unit = 60 cm ÷ 12

                      = 5 cm

Step 2: AB → 3 units = 3 x 5 cm

                                   = 15 cm

Step 3:  BC → 4 units = 4 x 5 cm

                                   = 20 cm

Step 4: Area of triangle → 12 x 15 cm x 20 cm = 150 cm2



2)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 216cm.
What is the area of the triangle 




Answer: 1944 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 216 cm

             1 unit = 216 cm ÷ 12

                      = 18 cm

Step 2: AB → 3 units = 3 x 18 cm

                                   = 54 cm

Step 3:  BC → 4 units = 4 x 18 cm

                                   = 72 cm

Step 4: Area of triangle → 12 x 54 cm x 72 cm = 1944 cm2



3)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 144cm.
What is the area of the triangle 




Answer: 864 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 144 cm

             1 unit = 144 cm ÷ 12

                      = 12 cm

Step 2: AB → 3 units = 3 x 12 cm

                                   = 36 cm

Step 3:  BC → 4 units = 4 x 12 cm

                                   = 48 cm

Step 4: Area of triangle → 12 x 36 cm x 48 cm = 864 cm2



4)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 264cm.
What is the area of the triangle 




Answer: 2904 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 264 cm

             1 unit = 264 cm ÷ 12

                      = 22 cm

Step 2: AB → 3 units = 3 x 22 cm

                                   = 66 cm

Step 3:  BC → 4 units = 4 x 22 cm

                                   = 88 cm

Step 4: Area of triangle → 12 x 66 cm x 88 cm = 2904 cm2



5)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 108cm.
What is the area of the triangle 




Answer: 486 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 108 cm

             1 unit = 108 cm ÷ 12

                      = 9 cm

Step 2: AB → 3 units = 3 x 9 cm

                                   = 27 cm

Step 3:  BC → 4 units = 4 x 9 cm

                                   = 36 cm

Step 4: Area of triangle → 12 x 27 cm x 36 cm = 486 cm2



6)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 96cm.
What is the area of the triangle 




Answer: 384 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 96 cm

             1 unit = 96 cm ÷ 12

                      = 8 cm

Step 2: AB → 3 units = 3 x 8 cm

                                   = 24 cm

Step 3:  BC → 4 units = 4 x 8 cm

                                   = 32 cm

Step 4: Area of triangle → 12 x 24 cm x 32 cm = 384 cm2



7)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 180cm.
What is the area of the triangle 




Answer: 1350 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 180 cm

             1 unit = 180 cm ÷ 12

                      = 15 cm

Step 2: AB → 3 units = 3 x 15 cm

                                   = 45 cm

Step 3:  BC → 4 units = 4 x 15 cm

                                   = 60 cm

Step 4: Area of triangle → 12 x 45 cm x 60 cm = 1350 cm2



8)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 120cm.
What is the area of the triangle 




Answer: 600 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 120 cm

             1 unit = 120 cm ÷ 12

                      = 10 cm

Step 2: AB → 3 units = 3 x 10 cm

                                   = 30 cm

Step 3:  BC → 4 units = 4 x 10 cm

                                   = 40 cm

Step 4: Area of triangle → 12 x 30 cm x 40 cm = 600 cm2



9)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 72cm.
What is the area of the triangle 




Answer: 216 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 72 cm

             1 unit = 72 cm ÷ 12

                      = 6 cm

Step 2: AB → 3 units = 3 x 6 cm

                                   = 18 cm

Step 3:  BC → 4 units = 4 x 6 cm

                                   = 24 cm

Step 4: Area of triangle → 12 x 18 cm x 24 cm = 216 cm2



10)  

In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5.
The perimeter of the triangle is 288cm.
What is the area of the triangle 




Answer: 3456 cm2


SOLUTION 1 :

AB : BC : CA
3 : 4 : 5

 

Step 1:  3 + 4 +5 = 12 units

            12 units = 288 cm

             1 unit = 288 cm ÷ 12

                      = 24 cm

Step 2: AB → 3 units = 3 x 24 cm

                                   = 72 cm

Step 3:  BC → 4 units = 4 x 24 cm

                                   = 96 cm

Step 4: Area of triangle → 12 x 72 cm x 96 cm = 3456 cm2