Question

Given that triangle QRS is similar to triangle DEF, what is x?

Answer 1

So the ratio is 40/26 = 1.54

24 ÷ 1.54 = 15.58

2x-4 = 15.58

2x = 19.58

x = 9.8

Answer 2

Answer:

x = 9.8

Step-by-step explanation:

Given that triangle QRS is similar to triangle DEF.

Hence, the ratio of corresponding sides of these triangles are equal.

Thus, we have

$\frac{QR}{DE}=\frac{RT}{EB}$

Substituting the known values from the given figure

$\frac{26}{40}=\frac{2x-4}{24}$

Cross multiplying, we get

$40(2x-4)=26\cdot24\\\\80x-160=624\\\\80x=784\\\\x=\frac{784}{80}\\\\x=9.8$

The value of x is 9.8