Question

Find the area of the triangle.

Answer 1

Length of missing side: 14.7 (rounded to nearest tenth)

Explanation:

1/2 * (base) * (height) = area

Memorize this: SOH CAH TOA

sine (degrees) = opposite length/hypotenuse

sin(67 degrees) = x/16

x = 14.7 (rounded to nearest tenth)

x = missing side = 14.7

Answer 2

76 ft squared

Explanation:

First, you need to find the height of the triangle using the Pythagorean theorem. By adding a line down the middle from point P to the center of line RQ you create a right triangle with 16 as a hypotenuse and a leg with the length 5 (half of the length of line RQ, 10) you can then plug this into the equation to get 5^2+b^2=16^2. Then you get 25+b^2=256, then b^2=231. You then take the square root of both sides to get a height of about 15.2. Now you can find the area of the triangle with the equation A=1/2(bxh). You multiply the base times the height so 10 times 15.2 to get 152, then multiply by 1/2, or divide it by 2, to get 76 feet squared as the area.