A leg of a right triangle is 16 inches. The hypotenuse is 34 inches. How long is the other leg?

hypotenuse ( c²) = a² + b²

- assume you're given the side a, find b:

b² = c² - a²

b² = (34)² - (16) ²

b² = 1156 - 256

b² = 900

b = √ 900

b = 30

therefore, the other leg is 30 inches.

Answer :

30 inches

Step-by-step explanation:

To determine one of the side lengths of a right triangle we can use the Pythagorean formula :

a² + b² = c²

b = 16 in

c = 34 in

a² + b² = c²

a² + 16² = 34²

a² + 256 = 1.156

a² = 1.156 - 256

a² = 900

a = √900

a = 30 in

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

answer: 177/8

step-by-step explanation: