# The legs of a right triangle are 12 and 16. Find the height drawn from the top of the right angle.

March 23, 2021 | education

| The square of the hypotenuse is equal to the sum of the squares of the legs. Hence, the hypotenuse of this triangle is equal to:

c = √ (122 + 162) = √ (144 + 256) = √400 = 20.

The area of a triangle can be found as half the product of the legs or as half of the product of the hypotenuse and the height drawn from a right angle:

0.5 * 12 * 16 = 0.5 * 20 * h;

h = 12 * 16/20 = 9.6 – the height drawn from the top of the right angle.

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