Solving Right Triangles

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Objective

I can solve right triangles by applying the Pythagorean theorem and trigonometric ratios to find all missing side lengths and angle measures.

Part 1 of 3

Warm-up video

Khan Academy · 7:04Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

In right triangle ABC, where angle C is the right angle, angle A measures 30° and side BC has a length of 7. Find the measure of angle B.

2

In a right triangle DEF, where angle F is the right angle, side DE (the hypotenuse) has a length of 13 and side DF has a length of 5. Find the length of side EF.

Part 3 of 3

Exit ticket

Quick comprehension check

In right triangle ABC, where angle C is the right angle, angle A measures 28° and side BC has a length of 12. Find the length of side AB and side AC. Round your answers to the nearest tenth. In right triangle DEF, where angle F is the right angle, side DE (the hypotenuse) has a length of 20 and side DF has a length of 15. Find the measure of angle D and angle E. Round your answers to the nearest degree.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

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