Question

two diagonals of isosceles trapezium are x cm. and (3x-8)cm. find the value of x.

Answer 1

diagonals of isosceles trapezium are same length...
so.. x=3x-8..
by solving..
-2x=-8...
so x=4

Answer 2

The value of x is 4 cm.

Step-by-step explanation:

It is given that two diagonals of isosceles trapezium are x cm. and (3x-8)cm.

According to Isosceles Trapezoid Diagonals theorem, the diagonals of isosceles trapezium are congruent.

$3x-8=x$

Add 8 on both sides.

$3x-8+8=x+8$

$3x=x+8$

Subtract x from both sides.

$3x-x=x+8-x$

$2x=8$

Divide both sides by 2.

$x=\frac{8}{2}$

$x=4$

Therefore, the value of x is 4 cm.

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