Question

What is the length of the hypotenuse of the triangle? Triangle A B C. Side A C is 8 centimeters and side C B is 15 centimeters. Hypotenuse A B is unknown. StartFraction 94 EndFraction cm StartFraction 161 EndFraction cm 17 cm 23 cm AWNSER ASPA!

Answer 1

17 cm

Explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

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

where a and b are the legs and c is the hypotenuse.

In this triangle, 8 cm and 15 cm are the legs, because they form the right angle. The hypotenuse is unknown.

a= 8

b= 15

`8^2 + 15^2= c^2`

Solve the exponents on the left side of the equation.

8^2= 8*8= 64

`64+15^2=c^2`

15^2= 15*15= 225

`64+225=c^2`

Add 64 and 225

`289=c^2`

c is being squared. We want to get c by itself, so we must perform the inverse. The inverse would be taking the square root.

Take the square root of both sides.

`√(289) =√(c^2)`

`√(289) =c`

`17=c`

c= 17 cm

The length of the hypotenuse is 17 centimeters.

Answer 2

The hypotenuse is 17

Explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c