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CCSS 8.G.B.7 Worksheets

Grade 8 Β· Geometry

Apply the Pythagorean theorem to find unknown side lengths of right triangles in real world and mathematical problems.

Below are free printable worksheets that support 8.G.B.7. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.

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Deliver a whole lesson on 8.G.B.7 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Teaching guide

What students learn

Apply the Pythagorean theorem to find unknown side lengths of right triangles in real world and mathematical problems.

Worked example
A right triangle has hypotenuse 13 and one leg 5. Find the other leg.
Answer: 12
Why: 132βˆ’52\sqrt{13^{2} - 5^{2}} = 169βˆ’25\sqrt{169 - 25} = 144\sqrt{144} = 12

Generated and checked in code, so it is correct.

Visual model

a = 6b = 8c = 10
The Pythagorean theorem, a2a^{2} + b2b^{2} = c2c^{2}, finds a right triangle's hypotenuse from its two legs: 626^{2} + 828^{2} = 100, and the square root of 100 is 10.
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More Grade 8 standards: 8.NS.A.1 Β· 8.EE.A.1 Β· 8.EE.A.2 Β· 8.EE.B.5 Β· 8.EE.C.7 Β· 8.EE.C.8 Β· 8.F.A.1 Β· 8.F.B.4
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