Question

Find the area of the triangle using Pythagorean theorem

Answer 1

48

Explanation:

Remark

Use a^2 + b^2 = c^2 to solve for the height.

Givens

c = 10

b = 6

h = ?

Solution

b^2 + h^2 = c^2

6^2 + h^2 = 10^2

36 + h^2 = 100 Subtract 36

h^2 = 100 - 36

h^2 = 64 Take the square root of both sides

sqrt(h^2) = sqrt(64)

h = 8

The height = 8

Area = 1/2 * b * h

Area = 1/2 *12 * 8

Area = 48

Comment

You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12