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Find the length of the hypotenuse. The measure of the hypotenuse?

Find the length of the hypotenuse. The measure of the hypotenuse?-example-1

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3 votes

Answer & Step-by-step explanation:

First, we must know the Pythagorean Theorem.

a² + b² = c²

a = 24

b = 7

Now, let's plug in these numbers into the formula.

24² + 7² = c²

Simplify the exponents.

576 + 49 = c²

Add 576 and 49 together.

625 = c²

Square root the terms on both sides of the equation.

√625 = √c²

Simplify the square roots.

25 = c

The length of the hypotenuse is 25 units.

User Michalina
by
8.2k points
6 votes

Answer:

Since it's a right angled triangle

Hypotenuse = h

h² = 7²+24²

h= √49 + 576

h = √625

h= 25

Therefore hypotenuse is 25

Hope this helps.

User Maxswitcher
by
8.5k points

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