Question

STVU is an isosceles trapezoid. If SV = 3x + 1 and TU = x + 21, find the value of x.

Answer 1

Definition of isos trapezoid=> A trapezoid with congruent legs.
Theorem=> Diagonals in a isosceles triangle are congreunt.
Answer=> SV is a diagonal and so is TU therefore they are equal.
Set aside=> 3x+1=x+21
Solve=> 2x=20
x=10

Answer 2

The value of x is 10.

Explanation:

Given information: STVU is an isosceles trapezoid, SV = 3x + 1 and TU = x + 21.

According to the properties of isosceles trapezoid, then diagonals of an isosceles trapezoid are equal.

SV and TU are diagonals of the isosceles trapezoid, so

`SV=TU`

`3x+1=x+21`

Separate like terms.

`3x-x=21-1`

`2x=20`

Divide both sides by 2.

`x=10`

Therefore the value of x is 10.