CD is the altitiude to △ABC, AC= 25, and CD= 24. What is the length of AB?

Step-by-step explanation:

if we know two sides of the triangle, we can find the third one using the Pythagorean Theorem.

a² + b² = c²

In this case, we need to find the value of c, which is always the hypotenuse or the longest side. We find the longest side to be AB, since it is opposite the largest angle in the triangle, the right angle.

We substitute the values of a and b in the equation. Note, a and b are interchangeable, but c is NOT!. C must always be the longest side for the formula to work.

25² + 24² = c²

625 + 576 = c²

1201 = c²

c =

c ≈ 34.6554469023

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two

answer is  

c.

36

step-by-step explanation: