The height of an isosceles triangle is 20 cm, and its base is 30 cm. Find the side of the triangle.
| February 7, 2021 | education
Since, by condition, the triangle is isosceles, its height is also the median of the triangle, and therefore, it divides the base of the AC into equal segments AH and CH.
Then AH = CH = AC / 2 = 30/2 = 15 cm.
From the right-angled triangle ABН, by the Pythagorean theorem, we determine the length of the hypotenuse AB.
AB ^ 2 = AH ^ 2 + BH ^ 2 = 20 ^ 2 + 15 ^ 2 = 400 + 225 = 625.
AB = 25 cm.
Answer: The side of the triangle is 25 cm.
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