Match the following columns: Column I Column II A. A man goes 10 m due east and then 20 m due north. His distance from the starting point is ……..m. P. 25√3 B. In an equilateral triangle with each side 10 cm, the altitude is ……cm. Q. 5√3 C. The area of an equilateral triangle having each side 10 cm is …….cm 2 . R. 10√5 D. The length of diagonal of a rectangle having length 8 m and breadth 6 m is ……..m. S. 10

Question

Philoid · Accepted Answer

A)

The man starts from A, goes east 10m to B. From B, he goes 20m to C.

AC² = AB² + BC²

AC² = 10² + 20²

AC² = 100 + 400 = 500

AC = √ 500 = 10√5

Therefore, (A)-(R)

B)

In ΔABD,

AB² = AD² + BD²

10² = AD² + 5²

AD² = 100-25 = 75

AD = √ 75 = 5√3

Therefore, (B)-(Q)

C)

Area of an equilateral triangle = cm

Therefore,(C)-(P)

D)

In ΔABC,

AC² = AB² + BC²

AC² = 6² + 8²

AD² = 36 + 64 = 100

AD = √ 100 = 10

Therefore, (D)-(S)

Column I	Column II
A. A man goes 10 m due east and then 20 m due north. His distance from the starting point is ……..m.	P. 25√3
B. In an equilateral triangle with each side 10 cm, the altitude is ……cm.	Q. 5√3
C. The area of an equilateral triangle having each side 10 cm is …….cm².	R. 10√5
D. The length of diagonal of a rectangle having length 8 m and breadth 6 m is ……..m.	S. 10