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Can anyone help me to solve this question
asked
Apr 19, 2022
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Can anyone help me to solve this question
Mathematics
high-school
Darshan Mehta
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Darshan Mehta
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1
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angle x = 57.5°
Explanation:
Let say Base of triangle = 2R
Then Radius of circle = R
Area of Semi Circle = (1/2) π R²
Let say Perpendicular height of isosceled triangle = h
then area of triangle = (1/2) * 2R * h
= R * h
R * h = (1/2) π R²
=> h = π R/2
Tan x = h/R
=> Tanx = π R/2R
=> Tanx = π/2
=> Tanx = 3.14/2
=> Tanx = 1.57
=> x = Tan⁻¹(1.57)
=> x = 57.5°
Angle x = 57.5°
Samich
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Apr 24, 2022
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Samich
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