Find the length of the hypotenuse of a right triangle if a = 9 and b = 12.
a) 10.5
b) 15
c) 16.5
d) 21

B. 15.

Explanation:  A right triangle is a triangle that contains one right angle. The sides that make up the right angle are the legs, and the sides opposite the right angle is the hypotenuse. The hypotenuse is always the longest side of a right triangle. Use the Pythagorean theorem to find the length of the hypotenuse, c.

Pythagorean theorem: a²+b²=c²

2²+12²=c²

2²=2*2=4

12²=12*12=144

4+144=c²

c²=225

C=15 ←← *Final Answer (correct)!*

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

the correct answer is 1: 2

step-by-step explanation:

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