Question

10 cm
12 cm
20 cm
12 + x
G
12 cm
A
X

Answer 1

x = 12 cm and y = 24 cm

Explanation:

Three sides of the first triangle are 10 cm, 12 cm and 12 cm.

Three sides of second triangle are 20 cm, 12+x cm and y cm.

As these two triangles are similar, it means,

`(10)/(20)=(12)/(12+x)=(12)/(y)\\\\(1)/(2)=(12)/(12+x)=(12)/(y)\\\\(1)/(2)=(12)/(y)\ \text{and}\ (1)/(2)=(12)/(12+x)\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm`

So, the value of x is 12 cm and that of y is 24 cm.