In a right triangle the lengths of the legs are a and b. Find the length of the hypotenuse, if: a=3/7, b=4/7

5/7

Step-by-step explanation:

We need the Pythagorean Theorem here.

If you have a right triangle, you can use the equation a^2+b^2=c^2 where a and b are legs and c is the hypotenuse.

Plug in your information.

(3/7) ^2 + (4/7) ^2=c^2

Simplify what you can.

9/49+16/49=c^2

25/49=c^2

Square root both sides.

5/7=c

5/7.

Step-by-step explanation:

Let the hypotenuse = h, then:

h^2 = (3/7) ^2 + (4/7) ^2 (By the Pythagoras Theorem).

h^2 = 9/49 + 16/49

h^2 = 25/49

h = 5/7.