19.5k views
1 vote
The measure of c is

A.

16√(13)
B.

√(208)
C.

4√(13)
D.

8 √(13)

The measure of c is A. 16√(13) B. √(208) C. 4√(13) D. 8 √(13)-example-1

2 Answers

2 votes
4√13
64+144=208
208÷16=13
8²=64
12²=144
4²=16
User Lithuak
by
5.3k points
3 votes
By the Pythagorean theorem,
c² = 8² + 12²
c² = 64 + 144 = 208
c = √(208) = √(16×13)
c = (√16)(√13) = 4√13

The best choice is

C.\quad4√(13)
User JVS
by
6.1k points