Question

find the length of side $c$ in the right triangle with legs 15cm and 20cm.

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$

Step2: Substitute given values

$$c^2 = 15^2 + 20^2$$

Step3: Calculate squared terms

$$c^2 = 225 + 400$$

Step4: Sum the values

$$c^2 = 625$$

Step5: Take square root

$$c = \sqrt{625} = 25$$

Answer:

25 cm