What is the area of triangle triangle PQR rounded to the nearest tenth of a square meter ? Drawing is not to scale. 12 m 40 7mR (1 point ) 31.3m ^ 2; 27m ^ 2; 56m ^ 2; 62.6m ^ 2
To find the area of triangle PQR, we need to use the formula for the area of a triangle:
Area = 1/2 * base * height
First, we need to find the height of the triangle. We can do this by creating a right triangle with one leg being 12 m (PQ) and the other leg being 7 m (QR). Using the Pythagorean theorem, we can find the height:
height^2 = (hypotenuse)^2 - (other leg)^2
height^2 = 12^2 - 7^2
height^2 = 144 - 49
height^2 = 95
height ≈ √95
height ≈ 9.7 m
Now, we can find the area of the triangle:
Area = 1/2 * base * height
Area = 1/2 * 12 * 9.7
Area ≈ 58.2 m^2
Therefore, the area of triangle PQR rounded to the nearest tenth of a square meter is 58.2 m^2. Among the options given, the closest one is 56m^2.