Question

Help, please!

The answer is presented on the image, thank you!

Answer 1

• PQ = 3
• QR = 5
• EF = 10

Explanation:

You want to know the side lengths of the triangles shown if DE = 8.

Value of x

Side DE is marked as x+6. If its length is 8, then we have ...

x +6 = 8

x = 2 . . . . . subtract 6

Side lengths

The unknown side lengths are then ...

PQ = x+1 = 3

QR = x+3 = 5

EF = x+8 = 10

__

Additional comment

These are both 3:4:5 right triangles. The larger is twice the size of the smaller. You can guess this because a 3:4:5 right triangle is the only one with a side length of 4 and integer lengths for the other sides.