Question

the hypotenuse of a right triangle is 25 cm and the shorter leg is 15cm find the length of the other leg

Answer 1

Using Pythagorean Therom, we know that the longest side or 25, when squared is equal to the height squared plus the width squared or
`A^(2) + B^(2) =C^(2)` where C is the Hypotenuse.
`25^(2)-15^(2) =400 or 20^(2)`

Answer 2

Answer: The length of the other leg is 20 cm.

Step-by-step explanation: As shown in the attached figure, triangle ABC is a right-angled triangle, where

m∠B = 90°, hypotenuse, AC = 25 cm and shorter leg, AB = 15 cm.

We are to find the length of the other leg, BC.

From Pythagoras theorem, we have

`AC^2=AB^2+BC^2\\\\\Rightarrow BC^2=√(AC^2-AB^2)\\\\\Rightarrow BC=√(25^2-15^2)\\\\\Rightarrow BC=√(625-225)\\\\\Rightarrow BC=√(400)\\\\\Rightarrow BC=20.`

Thus, the length of the other leg is 20 cm.