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Test: Heron`s Formula- Case Based Type Questions - 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. What is the length of equal sides?

Detailed Solution for Test: Heron`s Formula- Case Based Type Questions - Question 1

Test: Heron`s Formula- Case Based Type Questions - 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. If the sides of a triangle are in the ratio 3 : 5 : 7 and its perimeter is 300 m. Find its area.

Detailed Solution for Test: Heron`s Formula- Case Based Type Questions - Question 2

Test: Heron`s Formula- Case Based Type Questions - Question 3

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 for Test: Heron`s Formula- Case Based Type Questions - Question 3

Test: Heron`s Formula- Case Based Type Questions - Question 4

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 for Test: Heron`s Formula- Case Based Type Questions - Question 4

Test: Heron`s Formula- Case Based Type Questions - Question 5

Q. What is the area of highlighted triangle ?

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Test: Heron`s Formula- Case Based Type Questions - 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. What is the semi-perimeter of ΔABC?

Detailed Solution for Test: Heron`s Formula- Case Based Type Questions - Question 6

Test: Heron`s Formula- Case Based Type Questions - 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. Area of ΔPQR =

Detailed Solution for Test: Heron`s Formula- Case Based Type Questions - Question 7

Test: Heron`s Formula- Case Based Type Questions - 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. ½ of AB =

Detailed Solution for Test: Heron`s Formula- Case Based Type Questions - Question 8

Test: Heron`s Formula- Case Based Type Questions - Question 9

Use the above data to help her in resolving below doubts.

Q. What is the length of RQ?

Detailed Solution for Test: Heron`s Formula- Case Based Type Questions - Question 9

Test: Heron`s Formula- Case Based Type Questions - Question 10

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 for Test: Heron`s Formula- Case Based Type Questions - Question 10

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