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The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.

The base and height of a right triangle are 20 inches and 15 inches. Find the length-example-1
User Gennon
by
2.9k points

2 Answers

2 votes

Answer:

25 inches

Explanation:

We can use the Pythagorean theorem

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

20^2 + 15^2 = c^2

400 +225 = c^2

625=c^2

Taking the square root of each side

sqrt(625) = sqrt(c^2)

25 = c

User Amjad
by
3.4k points
3 votes

Using the Pythagorean theorem:

Hypotenuse = sqrt( 20^2 + 15^2)

Hypotenuse = sqrt( 400 + 225)

Hypotenuse = sqrt(625)

Hypotenuse = 25

Answer: 25 inches

User Dmitry Ovsyanko
by
3.1k points