Question

For the values given, a and b are legs of right triangle. find the length of the hypotenuse. If necessary, round to the nearest tenth.
7. a = 6, b = 8

8. a = 5, b = 9

9. a = 4, b = 10

10. a = 9, b = 1

11. a = 7, b = 3.5

12. a = 1.4, b = 2.3

Answer 1

7.) Hypotenuse is 10

8.)Hypotenuse is 10.3

9.) Hypotenuse is 10.8

10.) Hypotenuse is 9.1

11.) Hypotenuse is 7.8

12.) Hypotenuse is 2.7

Answer 2

The relation between the legs and the hypotenuse of the right-angled triangle can be expressed using the Pythagorean theorem as follows:

$hypotenuse = \sqrt{(leg1)^2 + (leg2)^2}$

We are given that a and b are the legs and we need to compute the hypotenuse. This means that all we need to do is substitute in the above formula.

Question 7:

a = 6 and b = 8

hypotenuse = $\sqrt{(6)^2 + (8)^2} = 10$ units

Question 8:

a = 5 and b = 9

hypotenuse = $\sqrt{(5)^2 + (9)^2} = 10.29$ units which is approximately 10.3 units

Question 9:

a = 4 and b = 10

hypotenuse = $\sqrt{(4)^2 + (10)^2} = 10.77$ units which is approximately 10.8 units

Question 10:

a = 9 and b = 1

hypotenuse = $\sqrt{(9)^2 + (1)^2} = 9.05$ units which is approximately 9.1 units

Question 11:

a = 7 and b = 3.5

hypotenuse = $\sqrt{(7)^2 + (3.5)^2} = 7.82$ units which is approximately 7.8 units

Question 12:

a = 1.4 and b = 2.3

hypotenuse = $\sqrt{(1.4)^2 + (2.3)^2} = 2.69$ units which is approximately 2.7 units

Hope this helps :)