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One of the legs of a right triangle measures 3 cm and it's hypotenuse measures 6 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

User Jumperchen
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User DoomMuffins
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Answer:

5.2

Step-by-step explanation:

One of the legs of a right triangle measures 3 cm and its hypotenuse measures 6 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

6 cm

3 cm

\text{Legs: \(3\) and ?}\hspace{20px}\text{Hypotenuse: \(6\)}

Legs: 3 and ?Hypotenuse: 6

a^{2}+b^{2}=

a

2

+b

2

=

\,\,c^{2}

c

2

The Pythagorean Theorem

c^{2}+3^{2}=

c

2

+3

2

=

\,\,6^{2}

6

2

Plug in. c is the hypotenuse.

c^{2}+9=

c

2

+9=

\,\,36

36

Square the numbers.

-9\phantom{=}

−9=

\,\,-9

−9

Subtract 9 from both sides.

c^{2}=

c

2

=

\,\,27

27

\sqrt{c^{2}}=

c

2

=

\,\,\sqrt{27}

27

Square root both sides.

c\approx

c≈

\,\,5.2

5.2

User Epameinondas
by
8.6k points

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