Question

Use the Pythagorean’s theorem to calculate the length of the hypotenuse of a right triangle with 17 as the length and 15 as the width

Answer 1

Hypotenuse = 22.67

Explanation:

`a^2 + b^2 = c ^2\\`

a = One Leg

b = Another Leg

c = Hypotenuse

`17^(2) + 15^(2) = c^2`

289 + 225 =
`c^2`

514 =
`c^2`

`√(514) = c`

c = 22.67

Answer 2

`\huge\boxed{\text{Around\ \ } 23}`

Explanation:

The Pythagorean Theorem states that

`a^2 + b^2 = c^2`

Where
`a` is one leg of the triangle,
`b` is the other, and
`c` is the hypotenuse.

Since we know the legs and we need to find the hypotenuse
`c`, we can substitute inside the equation with the values 15 and 17.

`15^2 + 17^2 = c^2\\\\225+289 = c^2\\\\514 = c^2\\\\c = √(514)\\\\c \approx 23`

Hope this helped!