Answer:
The TV is 64.3 in. wide.
Step-by-step explanation:
a
2
+(63)
2
=
\,\,90^{2}
90
2
Use the Pythagorean Theorem.
a^{2}+3969=
a
2
+3969=
\,\,8100
8100
Simplify.
-3969\phantom{=}
−3969=
\,\,-3969
−3969
Subtract 3969 from both sides.
a^{2}=
a
2
=
\,\,4131
4131
\sqrt{a^{2}}=
a
2
=
\,\,\pm\sqrt{4131}
±
4131
Square root both sides.
a=
a=
\,\,64.272855...
64.272855...
Simplify. Ignore negative root, as length must be positive.
a\approx
a≈
\,\,64.3
64.3
Round to the nearest tenth.
