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Fofino [41]
3 years ago
6

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

Mathematics
2 answers:
aliina [53]3 years ago
8 0

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!

oksano4ka [1.4K]3 years ago
4 0

Answer:

<h2>The answer is 38.5</h2>

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

<h3>h = 38.5 to the nearest tenth</h3>

Hope this helps you

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