Menu

Hypotenuse and Legs

Part of the Congruence & Proof section of Coddy's Geometry journey. Lesson 24 of 60.

A right triangle has names for its sides. The side opposite the right angle is the hypotenuse; it is always the longest side. The two sides that make the right angle are the legs.

$Right triangle ABC with the right angle at A$

Here the square is at A, so the legs are AB and AC, the two sides that meet at A. The hypotenuse is BC, the side that does not touch A. Always find the square first; the names follow from it, whatever way the triangle is turned.

Challenge

Triangle GHK has a right angle. Tap both legs, then press Check.

Try it yourself

$Find the right part on the figure$

Find the right part on the figure

All lessons in Congruence & Proof

2Congruent Triangles

Same Size, Same Shape What Congruence Gives Recap: Matching Parts

5ASA and AAS

The Side Between The ASA Rule The AAS Rule ASA or AAS?Recap: ASA and AAS

8Proofs with Vertical Angles

Vertical Angles in Proofs The Bowtie Bowtie with ASA Linear Pairs in Proofs Recap: Vertical Angles

11Similarity Proofs

AA Similarity Two Right Triangles SSS Similarity SAS Similarity Similar, Then Find Recap: Similarity

3SSS

Three Sides Fix It The SSS Rule A Shared Side SSS with a Shared Side Recap: SSS

6HL for Right Triangles

Hypotenuse and LegsThe HL Rule Why HL Works HL with a Shared Leg Recap: HL

9Proofs with Parallel Lines

Parallel Angles as Reasons Alternate Angles in a Proof Corresponding Angles in Proofs Parallel or Not?Recap: Parallel Proofs

12Final Challenges

Final: The Kite Diagonals Final: Overlapping Triangles Final: Enough to Find It?Final: The Height Bisects Final: The Roof Frame