Question

Can anyone help me to solve this question
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Answer 1

angle x = 57.5°

Explanation:

1. Let say Base of triangle = 2R
2. Then Radius of circle = R
3. Area of Semi Circle = (1/2) π R²
4. Let say Perpendicular height of isosceled triangle = h
5. then area of triangle = (1/2) * 2R * h
6. = R * h
7. R * h = (1/2) π R²
8. => h = π R/2
9. Tan x = h/R
10. => Tanx = π R/2R
11. => Tanx = π/2
12. => Tanx = 3.14/2
13. => Tanx = 1.57
14. => x = Tan⁻¹(1.57)
15. => x = 57.5°

Angle x = 57.5°