Question

drag the vertices of the triangle below to draw a right triangle with side lengths 8, 15, and 17.

Explanation:

Step1: Verify Pythagorean Theorem

Check if \(8^2 + 15^2 = 17^2\). Calculate \(8^2 = 64\), \(15^2 = 225\), sum is \(64 + 225 = 289\). \(17^2 = 289\), so it's a right triangle with legs 8 and 15, hypotenuse 17.

Step2: Draw the Right Triangle

Place two vertices 8 units and 15 units apart along perpendicular axes (e.g., x and y - axes), then connect the third vertex to form the triangle with sides 8, 15, 17.

Answer:

A right triangle with legs of length 8 and 15, and hypotenuse of length 17 (drawn by positioning vertices 8 and 15 units apart perpendicularly and connecting to the third vertex).