80 POINTS HELP
1. What is the value of x? Show all of your work.
2 answers:
Answer:
x = 9cm
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + x^2 = ( sqrt(117) ^2)
36 + x^2 = 117
Subtract 36 from each side
x^2 = 117 -36
x^2 = 81
Take the square root of each side
sqrt(x^2) = sqrt(81)
x = 9
Answer:
a^2 + b^2 = c^2
x^2 + 6^2 = (square root 117)^2
x^2 = square root 117 ^2 - 6^2
x^2= 117 -36
x^2 = 81
x= 9
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