Answer: 43.9
Step-by-step explanation:
a
2
+
(
24
)
2
=
a
2
+(24)
2
=
5
0
2
50
2
Use the Pythagorean Theorem.
a
2
+
576
=
a
2
+576=
2500
2500
Simplify.
−
576
−576=
−
576
−576
Subtract 576 from both sides.
a
2
=
a
2
=
1924
1924
a
2
=
a
2
=
±
1924
±
1924
Square root both sides.
a
=
a=
43.863424...
43.863424...
Simplify. Ignore negative root, as length must be positive.
a
≈
a≈
43.9
43.9
Round to the nearest tenth.
