Find the height of an isosceles triangle if its base is 6 and its side is 5.

univerkov | December 3, 2020 | education

Isosceles Triangle ABC
BC – base – 6 cm
AB = AC – 5 cm
Find the height (AH)
You can use the Pythagorean Theorem
That is, in triangle ABH we look for AH
AH ^ 2 = AB ^ 2-BH ^ 2
BH = BC: 2 = 3 cm
AH ^ 2 = 5 ^ 2-3 ^ 2
AH ^ 2 = 25-9 = 16
AH = √ 16 = 4 cm
Answer: 4 cm

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