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For the following right triangle, find the side length x, Round your answer to the nearest hundredth.



For the following right triangle, find the side length x, Round your answer to the-example-1
User SeaSky
by
4.9k points

2 Answers

5 votes

Answer:

x ≈ 15.59

Step-by-step explanation:

We need to use the Pythagorean Theorem to solve for x. The equation for that is a^2 + b^2 = c^2. Side a is 9. Side b is x. Side c is 18 and 18 is also the hypotenuse. Let's solve for x(side b):

a^2 + b^2 = c^2

9^2 + x^2 = 18^2

81 + x^2 = 324

Subtract 81 from both sides to get x^2 alone on one side.

x^2 = 243

Square root both sides to isolate x.

x = 9sqrt3)

x ≈ 15.59

User ZachM
by
5.2k points
3 votes
Answer:
15.59

Step-by-step explanation:

Use the Pythagorean Theorem

a^2+b^2=c^2
9^2+b^2=18^2
81+b^2=324
Subtract 81 from both sides
b^2=243
Square root 243= 15.59
User Blez
by
4.9k points