Question

Given the ABC DEF find the value of x and y

Answer 1

y = 7.5 units

x = 7.2 units

Explanation:

We are given the following information:

ΔABC
`\sim` ΔDEF

We have to find the value of x and y.

When two triangles are similar, then the corresponding sides are in same proportion.

This can be written as:

`\displaystyle(AB)/(DE) = (AC)/(DF) = (BC)/(EF)`

Putting values:

`\displaystyle(y)/(6) = (9)/(x) = (5)/(4)\\\\y = 6* (5)/(4) = 7.5\text{ units}\\\\x = 9* (4)/(5)=7.2\text{ units}`