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MA.8.GR.1.1 · Geometric Reasoning

The Pythagorean Theorem and Missing Side Lengths: Sample FAST Questions

The Pythagorean Theorem, a^2 + b^2 = c^2, is the headline 8th grade geometry skill for right triangles. Students find a missing hypotenuse, find a missing leg, and apply the theorem to real situations like ladders, ramps, and diagonal distances.

How the FAST tests this benchmark

FAST items include equation editor answers for a side length, multiple choice word problems, and items built on a labeled triangle diagram. Students are expected to know the theorem from memory, and radicands stay whole numbers up to 225, so every side comes out to 15 or less.

Skills students need

  • Find the hypotenuse of a right triangle
  • Find a missing leg of a right triangle
  • Apply the Pythagorean Theorem to real-world problems
  • Recognize common Pythagorean triples

Try 6 real MA.8.GR.1.1 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyMultiple Choice
A tablet has a rectangular screen with a diagonal of 26 centimeters and a width of 24 centimeters, as shown. What is the height, in centimeters, of the screen?
Figure: a triangle with base 24 cm, height x, hypotenuse 26 cm.
24 cmx

Figure may not be drawn to scale

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More 8th grade geometric reasoning benchmarks

MA.8.GR.1.2

Distance Between Two Points on the Coordinate Plane

MA.8.GR.1.3

Triangle Inequality and the Converse of the Pythagorean Theorem

MA.8.GR.1.4

Complementary, Supplementary, Vertical, and Adjacent Angles

MA.8.GR.1.1: Pythagorean Theorem Practice | Algebro