SOLUTION: In right triangle ABC, side AB is longer than side BC. The boxed numbers represent the possible side lengths of triangle ABC. Identify three boxed numbers that could be the side le
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Question 1127994: In right triangle ABC, side AB is longer than side BC. The boxed numbers represent the possible side lengths of triangle ABC. Identify three boxed numbers that could be the side lengths of triangle ABC. Select the number you choose to represent the length of each side. Boxed numbers are: 7, 8
15, 17
18, 20
24, 25
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Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
is right triangle
is longer than side , means
Boxed numbers are:
,
,
,
,
If triangle is right triangle, we will use Pythagorean theorem .
Before we try out all possible combinations, we can simply use Pythagorean triples and see which ones fit your boxed numbers.
here are first few Pythagorean triples to see where you can find given sides
,,
,,
,,-> this one is your
,,-> and this one is your
,,
so, you have
,, where
check:
and ,,->
check:
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