Answer:
√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
