Question

1. a proposed structure shaped as a right triangle will have side lengths of 50 yards and 120 yards. the hypotenuse length will be 130 yards. what is the area of the triangle?

a 3000 yd² c 6000 yd²
b 3250 yd² d 6500 yd²

Explanation:

Step1: Recall area formula for triangle

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height. For a right - triangle, the two legs can be considered as the base and the height.

Step2: Identify base and height

Let the two legs of the right - triangle be $b = 50$ yards and $h=120$ yards.

Step3: Calculate the area

Substitute $b = 50$ and $h = 120$ into the area formula: $A=\frac{1}{2}\times50\times120$. First, $50\times120 = 6000$, then $\frac{1}{2}\times6000=3000$ square yards.

Answer:

A. $3000$ yd²