Question

Find the missing side of the triangle using the Pythagorean Theorem.​

Answer 1

Answer: a^2 + b^2 = c^2

c^2 - a^2 = b^2 \/---

b^2

Step-by-step explanation: once completed you have ur answer

Answer 2

Answer:

$\boxed {\boxed {\sf 18 \ yards}}$

Step-by-step explanation:

This triangle is a right triangle. We know this because of the small square in the corner representing a 90 degree angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

In this formula a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, the legs are 24 and a, because these sides form the right angle. 30 is the hypotenuse because it is opposite the right angle.

• a=a
• b= 24
• c= 30

Substitute the values into the formula.

$a^2+(24)^2=(30)^2$

Solve the exponents.

• (24)²= 24*24=576
• (30)^2= 30*30=900

$a^2+ 576=900$

We are solving for a, the missing side of the triangle. We must isolate the variable. 576 is being added. The inverse of addition is subtraction, Subtract 576 from both sides of the equation.

$a^2+576-576=900-576\\a^2=900-576\\a^2=324$

a is being squared. The inverse of a square is a square root. Take the square root of both sides.

$\sqrt{a^2}=\sqrt{324}\\a=\sqrt{324}\\a=18$

The missing side of the triangle is 18 yards.