Answered

The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.

A15
B√ 15
C30
D√ 30

Verified Answer :

The answer is D
Cause it is right triangle, so through Pythagorean theorem, you can know the answer

calculista

Answer:

The answer is the option D

\(\sqrt{30}\ in\)

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

\(c^{2} =a^{2}+b^{2}\)

where

c is the hypotenuse

a and b are the legs

In this problem we have

\(c=6\ in\\a=\sqrt{6}\ in\)

substitute and solve for b

\(6^{2} =(\sqrt{6})^{2}+b^{2}\)

\(36 =6+b^{2}\)

\(b^{2}=30\)

\(b=\sqrt{30}\ in\)

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