In an isosceles triangle ABC, the angle at the vertex C is 30∘, and the sides are AC = BC = 72. Find the height AH.
| April 25, 2021 | education
Triangle ACH will be rectangular because its side AH is the height of triangle ABC dropped to side BC. AH is opposite an angle of 30 °. In a right-angled triangle, the leg opposite an angle of 30 ° is equal to half the hypotenuse:
AH = AC / 2 = 72/2 = 36.
Answer: 36.
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