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What is the length of the hypotenuse?

What is the length of the hypotenuse?-example-1
User Ardit Hyka
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1 Answer

1 vote

Answer:

Side C = 13 feet

Explanation:

We can use the pythagorean theorem to solve this, in which c^2=a^2+b^2

C is the longest side (hypotenuse), and b and a being sides of the triangle.

Keep in mind this theorem only works for RIGHT TRIANGLES

Applying this rule, we can form an equation for side C...

12^2 + 5^2 = C^2

C^2 = 12^2 + 5^2

C^2 = 144 + 25

C^2 = 169

C = 13 ft --> this is because the square of 169 is indeed 13.

Therefore, the value of side C is 13 feet.

Common Question/Doubt: How do you know which side is the hypotenuse? --> The side opposite to the 90 degree angle is the hypotenuse, ALWAYS.

If you know this, it's pretty easy to use the Pythagorean Theorem! Wishing you luck on your journey of mathematics! ^-^

User Nick Sologoub
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5.3k points