Question

Find the value of x in each diagram.

Answer 1

x = 8 and x = 7

Explanation:

(6)

Since the triangles are similar then the ratio of corresponding sides are equal, that is

`(ST)/(MN)` =
`(RS)/(LM)` , substitute values

`(x)/(4)` =
`(4)/(2)` ( cross- multiply )

2x = 16 ( divide both sides by 2 )

x = 8

(7)

Since the prisms are similar then the ratio of corresponding sides are equal, that is

`(x)/(35)` =
`(2)/(10)` ( cross- multiply )

10x = 70 ( divide both sides by 10 )

x = 7

Answer 2

6) 4 , 7) 35

Explanation: