If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of th

Question

belka [17]

4 years ago

10

If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of th

e unknown leg? Explain.

Mathematics

2 answers:

stiv31 [10] · Answer 1 · 2021-11-15T08:23:29+03:00

stiv31 [10]4 years ago

4 0

<span>The Pythagorean Theorem.If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse</span>

Katena32 [7] · Answer 2 · 2021-11-15T10:45:19+03:00

Answer:

Use the Pythagorean theorem; substitute the measurement of the leg into either a or b, and substitute the value of the hypotenuse into c.

Step-by-step explanation:

Since we have a hypotenuse, we know that this must be a right triangle. This means the Pythagorean theorem can be used to find missing measurements.

The Pythagorean theorem states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse; algebraically,

a²+b² = c².

To find the measure of the unknown leg, we substitute the information we know; the known leg will be either a or b (it does not matter which), and the hypotenuse will be c.