Question

triangles online practice
complete this assessment to review what youve learned. it will not count toward your grade.
apply the pythagorean theorem to decide whether a triangle with sides 20 ft., 21 ft., and 29 ft. is a
right triangle. (1 point)
the triangle is not a right triangle because ( 20^{2}+29^{2}
eq21^{2}).
the triangle is a right triangle because ( 20 + 21 = 29+12).
the triangle is not a right triangle because ( 20 + 21
eq29).
the triangle is a right triangle because ( 20^{2}+21^{2}=29^{2}).
check answer remaining attempts : 3

Explanation:

Step1: Calculate \(20^{2}\), \(21^{2}\), and \(29^{2}\)

\(20^{2}=20\times20 = 400\), \(21^{2}=21\times21=441\), \(29^{2}=29\times29 = 841\)

Step2: Check the Pythagorean Theorem \(a^{2}+b^{2}=c^{2}\) (where \(c\) is the longest side)

\(20^{2}+21^{2}=400 + 441=841\), and \(29^{2}=841\)

Answer:

The triangle is a right triangle because \(20^{2}+21^{2}=29^{2}\)