if triangle ABC is a right triangle.If side AC=5 and side AB=10,what is the measure of side ABC?

The answer is 9

Use Pythagorean Theorem. a^2 + b^2 = c^2, where c is the hypotenuse of the right triangle.

aquaratiral

To find the measure of side ABC in a right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, side AC is the hypotenuse, and side AB is one of the other two sides. Let's call the unknown side, side BC.

Using the Pythagorean Theorem, we have:

AC^2 = AB^2 + BC^2

Plugging in the given values:

5^2 = 10^2 + BC^2

25 = 100 + BC^2

BC^2 = 25 - 100

BC^2 = -75

Since we can't take the square root of a negative number, it means that side BC does not have a real length. Therefore, the measure of side ABC cannot be determined as it would require an imaginary length.