Finding the Hypotenuse
Part of the Triangles section of Coddy's Geometry journey. Lesson 24 of 63.
Knowing the two legs, the theorem gives the hypotenuse. Square the legs, add them, and take the square root.
Here the legs are 8 and 6: 8^2 + 6^2 = 64 + 36, which is 100. So c^2 = 100 and c = 10, because 10 × 10 = 100. Only the positive root counts: a length is never negative.
On the stage, tap the hypotenuse and pick Pythagorean theorem. The board checks that the triangle has a right angle before it uses the rule.
Challenge
△ABC has a right angle at A. Find the hypotenuse BC, then press Check.
Try it yourself
Find the marked part of the figure
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Triangles
1Sides and Names
Three Sides, Three CornersSorting by SidesNaming by AnglesTicks into EquationsThe Longest SideRecap: Sorting Triangles2The Triangle Inequality
Can Three Sticks Meet?Exactly ReachingThe Range of the Third SideThe FormulaRecap: The Third Side5The Pythagorean Theorem
Squares on the SidesFinding the HypotenusePythagorean TriplesWhen It Is Not WholeRecap: The Hypotenuse3Perimeter
Around the EdgeA Missing SideIsosceles PerimeterSides as ExpressionsRecap: Around the Edge6Finding a Leg
Working BackwardsThe LadderWhich Side Is c?A Leg That Is Not WholeRecap: Finding a Leg