Answer: H
Step-by-step explanation:
7% of 21 is 1.47
If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
The LCM (least common denominator) of 3, 4, 6 and 8 is...
24
The easiest way for me to do this is too set their heights to actual numbers. Say Wanda is 100 feet tall (which I know isn’t a thing, but 100 is always an easy number for percentages.) If will is 34% taller than 100 feet, 1% is 1 foot, so Will is 134 feet tall. 134 / 100 is 134%, so will’s height is 134% of Wanda/s height. Hope this helps!
