Find the length of the hypotenuse. The measure of the hypotenuse?
2 answers:
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.
Answer & Step-by-step explanation:
First, we must know the Pythagorean Theorem.
<em>a² + b² = c²</em>
<em>a = 24</em>
<em>b = 7</em>
Now, let's plug in these numbers into the formula.
<em>24² + 7² = c²</em>
Simplify the exponents.
<em>576 + 49 = c²</em>
Add 576 and 49 together.
<em>625 = c²</em>
Square root the terms on both sides of the equation.
<em>√625 = √c²</em>
Simplify the square roots.
<em>25 = c</em>
The length of the hypotenuse is 25 units.
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