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 willcreate a right a triangle.

√8 - 2 units and 2 units,

√7 - √5 units and √2 units,

√5 - 1 units and 2 units,

3 - 2 units and √5 units,

Explanation;

To get each hypotenuse length with the leg lengths that will create a right a triangle., we need to use the pythagoras theorem. According to the theorem;

hypotenuse² = opposite² + adjacent²

The given two lengths are the opposite and adjacent sides of the right angled triangle.

For the  triangle with lengths √5 units and √2 units,

hyp² = (√5)² + (√2)²

hyp² = 5+2

hyp = √7 units

For the  triangle with lengths √3 units and 4 units,

hyp² = (√3)² + 4²

hyp² = 3+16

hyp = √19 units

For the  triangle with lengths 2 units and √5 units,

hyp² = (2)² + (√5)²

hyp² = 4+5

hyp = √9 units

hyp = 3 units

For the  triangle with lengths 2 units and 2 units,

hyp² = (2)² + (2)²

hyp² = 4+4

hyp = √8 units

For the  triangle with lengths 1 units and 2 units,

hyp² = (1)² + (2)²

hyp² = 1+4

hyp = √5 units

10+4√2 is the answer. i dont have the time to explain.