Heron`s Formula- Case Based Type Questions - Free with solutions
MCQ Practice Test & Solutions: Test: Heron`s Formula- Case Based Type Questions (10 Questions)
You can prepare effectively for Class 9 Class 9: Additional Practice with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Heron`s Formula- Case Based Type Questions". These 10 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 20 minutes
- - Number of Questions: 10
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Direction: Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm.
Q. What is the length of equal sides?
Detailed Solution: Question 1
Direction: Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm.
Q. If the sides of a triangle are in the ratio 3 : 5 : 7 and its perimeter is 300 m. Find its area.
Detailed Solution: Question 2
Direction: Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm.
Q. What is the Heron's formula for the area of?
Detailed Solution: Question 3
Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm. What is the semi perimeter of the Isosceles triangle?
Detailed Solution: Question 4
Direction: Isosceles triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm.
Q. What is the area of highlighted triangle ?
Detailed Solution: Question 5
Direction: Shakshi prepared a Rangoli in triangular shape on Diwali. She makes a small triangle under a big triangle as shown in figure.
Sides of big triangle are 25 cm, 26 cm and 28 cm. Also, ΔPQR is formed by joining mid points of sides of ΔABC.
Use the above data to help her in resolving below doubts.
Q. What is the semi-perimeter of ΔABC?
Detailed Solution: Question 6
Direction: Shakshi prepared a Rangoli in triangular shape on Diwali. She makes a small triangle under a big triangle as shown in figure.
Sides of big triangle are 25 cm, 26 cm and 28 cm. Also, ΔPQR is formed by joining mid points of sides of ΔABC.
Use the above data to help her in resolving below doubts.
Q. Area of ΔPQR =
Detailed Solution: Question 7
Direction: Shakshi prepared a Rangoli in triangular shape on Diwali. She makes a small triangle under a big triangle as shown in figure.
Sides of big triangle are 25 cm, 26 cm and 28 cm. Also, ΔPQR is formed by joining mid points of sides of ΔABC.
Use the above data to help her in resolving below doubts.
Q. ½ of AB =
Detailed Solution: Question 8
Direction: Shakshi prepared a Rangoli in triangular shape on Diwali. She makes a small triangle under a big triangle as shown in figure.
Sides of big triangle are 25 cm, 26 cm and 28 cm. Also, ΔPQR is formed by joining mid points of sides of ΔABC.
Use the above data to help her in resolving below doubts.
Q. What is the length of RQ?
Detailed Solution: Question 9
Direction: Shakshi prepared a Rangoli in triangular shape on Diwali. She makes a small triangle under a big triangle as shown in figure.
Sides of big triangle are 25 cm, 26 cm and 28 cm. Also, ΔPQR is formed by joining mid points of sides of ΔABC.
Use the above data to help her in resolving below doubts.
Q. If colourful rope is to be placed along the sides of small ΔPQR. What is the length of the rope?
Detailed Solution: Question 10
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