a and b are both the lengths of the legs of a right triangle, c is the length of the hypotenuse. Find the missing length if b=24 and c=25. I don't know how to do this.

first you must have the formula

a^2+b^2=c^2
now you just have to plugg in the numbers into the formula
a^2+24^2=25^2
solve for a
do it and then post your answer I will check if it is right

You'll need to plug these lengths in this theorem:

a^2 + b^2 = c^2
a^2 + 576 = 625
a^2 = 49
a = ?

a = 7?

Right! a = 7

To find the missing length of the right triangle, we can use the Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we know that b = 24 and c = 25. Let's substitute these values into the theorem and solve for the missing length, denoted as a:

a^2 + b^2 = c^2
a^2 + 24^2 = 25^2

Now, we can solve for a by simplifying the equation:

a^2 + 576 = 625
a^2 = 625 - 576
a^2 = 49

To remove the square, we'll take the square root of both sides:

√(a^2) = √49
a = ±7

Since a is a length, we discard the negative square root. Therefore, the missing length is a = 7.