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What is the length of leg s of the triangle below

What is the length of leg s of the triangle below-example-1

2 Answers

4 votes
Pythagorean Theorem:
s^2 + 3^2 = 18
s^2 = 9
s = 3

answer is B


User LongInt
by
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7 votes

Answer: The correct option is (B) 3.

Explanation: We are given to find the length of the leg s in the triangle shown in the figure.

From the figure, we note that

the given triangle is a right-angled one, where

length of the hypotenuse, H = √18 units,

length of one leg, P = 3 units

and

length of the other leg, s = B =?.

From Pythagoras theorem, we have


H^2=P^2+B^2\\\\\Rightarrow (√(18))^2=3^2+B^2\\\\\Rightarrow 18=9+B^2\\\\\Rightarrow B^2=18-9\\\\\Rightarrow B^2=9\\\\\Rightarrow B=3.

Thus, the length of the leg s is 3 units.

Option (B) is CORRECT.

User Ali
by
7.5k points