Question

Find the area of right triangle. If necessary, round to the nearest tenth.

A right triangle with side 6 yards and hypotenuse 10 yards.
a.
8 yd
b.
24 yd
c.
48 yd
d.
64 yd

Answer 1

b. 24 yd

Explanation:

Hi, since we have a right triangle we have to apply the Pythagorean Theorem:, to find the missing side.

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (10 yd) and a and b are the other sides.

Replacing with the values given:

10^2 = 6^2 + b^2

100 = 36+b^2

100-36 = b^2

64 = b^2

√64 = b

b= 8

Now, we can calculate the area:

A =1/2x base x height = 1/2 x 8 x 6 = 24 yd

Feel free to ask for more if needed or if you did not understand something.