Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 20. The hypotenuse is marked 52.

48

Step-by-step explanation:

The Pythagorean Theorem is:

where and are the legs of the right triangle. is the hypotenuse of the triangle.

In this right triangle, we know that one leg is 20 and the hypotenuse is 52. Therefore,

Since we don't know the other leg, we can leave it as . Substitute the values into the theorem.

Evaluate the exponents first.

⇒ 20²=20*20=400

⇒ 52²= 52*52= 2704

Since we want to find , we must isolate . First, subtract 400 from both sides of the equation.

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

The length of the other leg is 48

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true