Question

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.

Answer 1

Answer:

The answer is 38.5

Step-by-step 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

${h}^{2} = {18}^{2} + {34}^{2}$

$h = \sqrt{324 + 1156} \\ h = \sqrt{1480} \\ h = 2 \sqrt{370}$

h = 38.47076

We have the final answer as

h = 38.5 to the nearest tenth

Hope this helps you

Answer 2

Answer:

38.5

Step-by-step 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!