What is the height AH of an isosceles triangle ABC with sides | AB | = | AB | = 5 cm, | BC | = 8cm?
| April 11, 2021 | education
The triangle is isosceles, therefore, having drawn the height AH, we get two equal triangles ABH and AHC. Let’s use the Pythagorean theorem: AB and BH are already known to us. AB is the hypotenuse.
AB ^ 2 = AH ^ 2 + BH ^ 2;
25 = AH ^ 2 + 16;
AH ^ 2 = 9.
Answer: 3 cm.
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