Faiza A.

asked • 03/11/22

WHICH COULD BE THE LENGTHS OF THE SIDES OF A RIGHT ANGLE?

WHICH COULD BE THE LENGTHS OF THE SIDES OF A RIGHT ANGLE?


A, 8, 15, 17

B, 6, 12, 18

C, 4,7,22

D, 3, 5, 34

1 Expert Answer

By:

Denise G. answered • 03/11/22

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To check these, you need to use the Pythagorean Theorem

a2+b2=c2 for right triangles, where c is the hypotenuse (the longest side)


For example,

(8)2+(15)2=(17)2

64+225=289

289=289 This is a right triangle

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Norbert J. M.

tutor
As Denise outlines, using the Pythagorean will also yield false conclusions for choices B,C and D. Another fact we recognize from the choices in this particular problem, is using the Triangle Inequality Theorem where triangle sides a+b≥c, again ruling out choices B, C and D not being constructible triangle values, though NOT proving a right angle is present.
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03/14/22

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