source : yahoo.com

## Which of the following sets could be the sides of a right triangle?

For this question you just have to check that when you pluggin the sides into the pythagorean theorem both sides are equal to each other:

a^2+b^2 = c^2 (where c is the longest side)

1)

2^2+3^2 = (sqrt(13))^2

4+9 = 13

13 = 13 YES, RIGHT TRIAGLE (pythagorean theorem holds true)

2)

5^2+5^2 = (2sqrt(10))^2

25+25 = 40

50 =! 40 NO, NOT RIGHT TRIANGLE (pythagorean theorem does NOT hold true)

3)

5^2+12^2 = 15^2

25+144 = 225

139 =! 225 NO, NOT RIGHT TRIANGLE (pythagorean theorem does NOT hold true)

therefore, the first set is the only one which could contain the sides of a right triangle.

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code generation – C++ program on determining triangle – Stack Overflow – Which of the following sets of three numbers could be the side lengths, in yards, of a right triangle containing a 45° angle? Here, even if we forgot the 45-45-90 ratios, we can eliminate any choice that doesn't meet the Pythagorean theorem, since the question tells us we're dealing with a right triangle.If a triangle is a right triangle, then the lengths of its sides satisfy the Pythagorean Theorem, a2+b2=c2. To determine which choice is correct, test each set of values by substituting them into the Pythagorean Theorem. Start with the first set of numbers: 3, 13, and 14. 32+132=142 9+169=196 178…Step-by-step explanation: Through the use of the Pythagorean Theorem your father ask you to make a lay out of a rectangular garden he is planning to make in your backyard. the area of a rectangular garden must be 48ft a … ng had the length of 4 ft more than twice the width. find the…

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