Answer:
5.2
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
