Consider the triangle. Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c. Find the length of the hypotenuse, c. The length of the hypotenuse is cm.

The length of the hypotenuse is 26 cm

Step-by-step explanation: Please refer to the attached diagram

The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.

Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that

AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides

In this question the hypotenuse is AB, so we now have;

AB² = AC² + CB²

AB² 24² + 10²

AB² = 576 + 100

AB² = 676

Add the square root sign to both sides of the equation

√AB² = √676

AB = 26

Therefore the length of the hypotenuse is 26 cm