Phythagorean Theorem Question

Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each hypotenuse length with the leg lengths that will create a right triangle.

Answer 1

Using Pythagoras theorem

C=√A² + B²

Insert the triangle lengths (they should be provided) into this equation. For a triangle with lengths of 5 and 3

C= √ 5² + 3²

First thing I do is square both sides changing the problem to:

C²=5²+3²

C²=25+9

C= √34.

*note some teachers may prefer the square root broken down rounding it to the nearest 10th or 100th, which in this problem would be C=5.83

A triangle with lengths of √3 and √6

C=√(√3)² + (√6)² original input

C² = (√3)² + (√6)² square both sides

C² = 3+6 The square root and squared values cancel each other out

C=√9 which can be further reduced to 3

I hope this makes sense and if you have any more questions I would be happy to assist in any way possible.