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If the length of the legs of a right triangle are 18 and 34, what is the length of the hypotenuse? Round your

answer to the nearest tenth, if necessary.

User Ashkar
by
8.2k points

2 Answers

0 votes

Answer:

38.5

Explanation:

Hello!

To find the length of a missing side of a right triangle we use the equation


a^(2) +b^(2) =c^(2)

a is a leg

b is the other leg

c is the hypotenuse

Put in what we know


18^(2) +34^(2)= c^(2)

Simplify


324+1156 = c^(2)

Simplify


1480 = c^(2)

Take the square root of both sides

38.470 = c

Round to the nearest tenth

38.5 = c

Hope this helps!

User Fimbulvetr
by
7.5k points
4 votes

Answer:

The answer is 38.5

Explanation:

Since we have been given the legs of the right angled triangle we can use Pythagoras theorem to find the hypotenuse

That's


{h}^(2) = {b}^(2) + {c}^(2)

where

h is the hypotenuse

The legs of the triangle are 18 and 34 so the hypotenuse is


{h}^(2) = {18}^(2) + {34}^(2)


h = √(324 + 1156) \\ h = √(1480) \\ h = 2 √(370)

h = 38.47076

We have the final answer as

h = 38.5 to the nearest tenth

Hope this helps you

User Indragie
by
8.1k points

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