How to find the height of an isosceles triangle if its sides are known?
March 9, 2021 | education
| If sides a, b and c are known in a triangle, then from them you can find the area of the triangle:
S = √ (p (p – a) (p – b) (p – c)), where p = (a + b + c) / 2.
The area of the triangle is found by the side and by the height that is lowered to this side:
S = (ah) / 2;
√ (p (p – a) (p – b) (p – c)) = (ah) / 2;
Answer: h = 2√ (p (p-a) (p-b) (p-c)) / a.
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