Question

The figure shown contains 3 squares and 1 right triangle. What is the length of the hypotenuse of the triangle? Explain how you found your answer

the length of the hypotenuse is ???? cm

Answer 1

In order to find the hypotenuse of the triangle

We need to find the other sides of a right triangle

Length of the 1st side of a right triangle is connected with a square with area 144
`cm^(2)`

Hence in order to find the side we

`√(144) = side`

`12 = side`

Length of the second side is connected to a small square with area 25
`cm^(2)`

`√(25) = side`

`5 = side`

Now we can find the hypotenuse of a right triangle with the phytogorean theorem

`a^(2)+ b^(2) = c^(2)`

`12^(2)+ 5^(2) = c^(2) \\169 = c^(2)`

`√(169)= c`

`13 = c`

Hence , the hypotenuse of a right triangle is 13cm