Question

(a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle, (b)

determine the perimeter of the triangle, and (c) determine the area of the triangle. The figure is
not drawn to scale
Q
20 yd
15 yd
a. The length of the unknown side is
(Type a whole number)
b. The perimeter of the triangle is
(Type a whole number.)
c. The area of the triangle is
(Type a whole number)
Enter your answer in each of the answer boxes

Answer 1

Explanation:

Using the pythagorean theorem, we can solve to find C.

a^2 + b^2 = c^2

So it will be 15^2 + 20^2 = c^2

Simplify:

225 + 400 = c^2

625 = c^2

Square root both sides of the equation and you will get:

25 = c

c = 25

(a) The length of the unknown side is 25 yd

For perimeter, just add 20 + 15 + 25

(b) So the perimeter is 60 yd

The formula for area of a triangle is:

Area = (Base x Height) / 2

Now, we can plug in the numbers.

Base = 15

Height = 20

(15 x 20) / 2

300 / 2

= 150

(c) The area of the triangle is 150yd^2