Back to Explain a proof of the Pythagorean Theorem and its converse — Problem 1 · Task Set 69

8.G.B.6 Tutor Intake -- Pythagorean Theorem Proof and Converse

This short check helps your tutor see where to start. Work on your own,
without a calculator. Do your best -- the goal is to find what to work
on together, not to grade you.

Grade 8·5 problems·~7 min·Common Core Math - Grade 8·container·8-g-b-6

Work through problems with immediate feedback

Procedures

A triangle has sides 7, 10, and 12 (12 is the longest side). Is
this a right triangle?

No -- 7^2 + 10^2 = 149, but 12^2 = 144, and 149 does not equal 144

Yes -- 7^2 + 10^2 = 149, and 12^2 = 144, which is close enough

Yes, because 7 + 10 = 17, which is more than 12

Cannot be determined without knowing the angles first