The side of an isosceles triangle is 13 m and the base is 10 m.Calculate the height of the triangle

The height BH of an isosceles triangle divides the base of the AC in half, then AH = CH = AC / 2 = 10/2 = 5 cm.

Then from the right-angled triangle ABH we define the leg BH.

BH ^ 2 = AB ^ 2 – AH ^ 2 = 13 ^ 2 – 5 ^ 2 = 169 – 25 = 144.

BH = 12 cm.

Answer: Height HH = 12 cm.



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