Answer:
25
Step-by-step explanation:
This is a right triangle. This is because of the little square in the corner that indicates a right angle. Therefore, we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
We know that 7 and 24 are the legs, because they make up the right angle. We know c is the hypotenuse because it is opposite the right angle.
7^2+24^2=c^2
Evaluate the exponents on the left side.
49+576=c^2
Add 49 and 576
625=c^2
Since c is being squared, take the square root of both sides. This will cancel out the exponent, and leave c by itself.
√625= √c^2
√625=c
25=c
The measure of the hypotenuse is 25
