What is the value of x, when a scalene triangle's measurements are x, 2x, and 54 ?

Question

asked Jan 13, 2021 140k views

1 Answer

Danny Gloudemans · Answer 1 · 2021-01-17T21:23:11+0000

The value of x is 42

For given scalene triangle, the measure of all three angles will be different.

Since, the sum of angles of a triangle is equal to 180°.

$x+2x+54 = 180\\3x+54 = 180\\3x=180-54\\3x=126\\x=(126)/(3) \\x=42$

2x = 42* 2 = 84

Therefore, the angles of the scalene triangle are 42°, 84° and 54°