Herons Formula Test

Result

Herons Formula Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

The difference of semi-perimeter and the sides of △ABC are 8, 7 and 5 cm respectively. Its semi-perimeter ‘s’ is

A
10 cm

B
20 cm

C
15 cm

D
5 cm

Solution

Given: s - a = 8 cm, s - b = 7 cm and s - c = 5 cm

Adding all equations,

s - a + s - b + s - c = 8 + 7 + 5

=> 3s - (a + b + c) = 20

=> 3s - 2s = 20

=> s = 20 cm
Question 2
1 / -0

The area of one triangular part of a rhombus ABCD is given as 125 cm². The area of rhombus ABCD is

A
250 cm²

B
2500 cm²

C
625 cm²

D
500 cm²

Solution

Since diagonals of a rhombus divide it into 4 triangles of equal area. Therefore,

Area of rhombus = 4 x Area of triangle

= 4 x 125 = 500 sq. cm
Question 3
1 / -0

The area of a parallelogram whose base is 32 m and the corresponding altitude is 6 m is

A
132 m²

B
192 m²

C
164 m²

D
154 m²

Solution

Area of parallelogram = Base x Corresponding altitude

= 32 x 6 = 192 sq. m