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

The hypotenuse is 5

Step-by-step explanation:

We can use the Pythagorean theorem to find the hypotenuse of a right triangle

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

3^2 +4^2 =c^2

9+16=c^2

25=c^2

Take the square root of each side

sqrt(25) =sqrt(c^2)

5 = c

Step-by-step explanation:

Use the Pythagorean theorem:

a² + b² = c²

a, b - legs

c - hypotenuse

We have the lengths of the legs a = 3 and b = 4. Substitute:

c² = 3² + 4²

c² = 9 + 16

c² = 25 → c = √25

c = 5

Pythagorean triple:

3, 4, 5

6, 8, 10

5, 12, 13

and more.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

you have orange juice on wednesday. (idk why this is the answer)

step-by-step explanation: