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If the hypotenuse of a right triangle is 6 and one leg is 5 what is the other leg?

A√61
B61
C√11
D11

Verified Answer :

bgunn12345678

Recall the Pythagorean Theorem which says:

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:

5^2 + b^2 = 6^2

25 + b^2 = 36

b^2 = 11

b = √11

Thus the answer is C.

Second side of the given triangle is √11 So, Option "C" is the correct answer to the following question.

Pythagorean theorem based problem:

What information do we have?

Hypotenuse of right triangle = 6 unit

One side = 5 unit

We have to find Second side of triangle

Using Pythagorean theorem:

H² = P² + B²

By using Pythagorean theorem we can find the second side,

Second side of triangle = √Hypotenuse² - Other side²

Second side of triangle = √6² - 5²

Second side of triangle = √36 - 25

Second side of triangle = √11 unit

Find out more about 'Hypotenuse'

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