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Find the missing side b.
A. 16.1
B. 19.7
C. 26
D. 13

Find the missing side b. A. 16.1 B. 19.7 C. 26 D. 13-example-1

2 Answers

5 votes
16.1. Solve by using the Pythagorean Theorm. b squared+8 squared= 18 squared. b squared+64=324. Subtract 64 from both sides to get b squared=260. Square root 260 to get 16.1
User Tasos Vogiatzoglou
by
7.1k points
6 votes

Answer: A . 16.1

Explanation:

In the figure we have a right triangle in which one of the leg's length is missing.

  • Pythagoras theorem of right triangles says that the square of hypotenuse is the sum of the squares of the two legs.

For the given triangle , we have
(18)^2=b^2+8^2

i.e.
\Rightarrow\ 324=b^2+64

i.e.
\Rightarrow\ b^2=324-64

i.e.
\Rightarrow\ b^2=260

i.e.
\Rightarrow\ b=√(260)=16.1245154966approx16.1

Hence, the missing side = 16.1 units

User JConstantine
by
6.8k points