Question

△MAH∼△WCF . What is the value of x? Enter your answer in the box.

.2What is the value of x?

 

Answer 1

The first answer is x=23 and the second one is 27. 

Answer 2

Given that the triangle MAH is similar to triangle WCF.

When two triangles are similar, then all three pairs of corresponding sides in the same ratio.

Similarly,
`\triangle MAH \sim \triangle WCF`

Therefore,
`(MA)/(WC)=(AH)/(CF)=(MH)/(WF)`

Now, substituting the measurements of the sides.

`(62)/(15.5)=(AH)/(CF)=(92)/(x)`

Equating the first and last ratio of the corresponding sides.

`(62)/(15.5)=(92)/(x)`

Cross multiplying in the above equation,

`62 * x = 92 * 15.5`

`62 * x = 1426`

`x =(1426)/(62)`

x = 23.

Therefore, the value of x is 23.