# How do you find the area of the triangle when 16 tall and the hypotenuse is 34?

$A = 240$

#### Explanation:

base = b (see figure below)

According to Pythagorean Theorem:
${34}^{2} = {16}^{2} + {b}^{2}$

${b}^{2} = {34}^{2} - {16}^{2}$

${b}^{2} = 900$

$b = \sqrt{900} = 30$

$A = \frac{30 \times 16}{2} = 240$