A median is drawn to the base of an isosceles triangle where the two equal sides are 13 cm each and the base is 10 cm. The median to the base is also the altitude. Using right-angle reasoning, find the length of this altitude in cm.

Question

Accepted Answer

12. The altitude bisects the base, giving a right triangle with legs base/2=5 and altitude h, hypotenuse 13. h = √13^2 - 5^2 = √169-25 = √144 = 12 cm.

A median is drawn to the base of an isosceles triangle where the two equal sides are 13 cm each and the base is 10 cm. The median to the base is also the altitude. Using right-angle reasoning, find the length of this altitude in cm.

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