The side of an isosceles triangle is 13 m and the base is 10 m. Calculate the height of the triangle.
| July 13, 2021 | education
According to one of the properties of an isosceles triangle, the height divides the base into two equal parts. Consider a right-angled triangle, in which, by condition, we know the hypotenuse (side, 13 m) and one leg (half of the base, 5 m). We find the unknown leg (height) by the Pythagorean theorem:
H = √ (169 – 25) = √144 = 12 (m).
Answer: the height of the triangle is 12 m.
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