Question

The measures of angles of a triangle are (4x-12),(5x+12) and 6x.On the basis of this tell what king of a triangle is this

a.equilateral
b.isosceles
c.right angled
d.scalene

Ans with explanation plz

Answer 1

Sum of all angles of traingle=180°
(4x-12)+(5x+12)+6x=180
15x=180
x=12°
Now first angle is
4x-12
=4(12)-12
=36°
5x+12
=5(12)+12
=72°
6x
=6(12)
=72°
The given angles are 36°,72°,72°
So two angles are same
Which means the side opposite to both angle will also be equal
Hence the given triangle is isosceles
Hope it helps
:)