Answer:
<h3>Therefore the angles of the triangle are 52.5°, 105°,49.5°.</h3>Step-by-step explanation:
Triangle:
- The sum of the angle of triangle = 180°
- Heron's formula the area of triangle =
s= semi-perimeter
Given that , first angle is twice the second angle, and the second angle is 30° larger than the third angle.
Consider the second angle of the triangle be x.
Then first angle = twice the second angle
=2× second angle
=2x
The third angle+30° = second angle
⇒third angle= second angle -30°
= x- 30°
We know that,
First angle + second angle+ Third angle = 180°
⇒2x+x+x-30°= 180°
⇒4x = 180° +30°
⇒4x=210°
⇒x=52.5°
Therefore the angles of the triangle are 52.5°, (2×52.5°),(52.5°-30°)
=52.5°, 105°,49.5°