Question

If the hypotenuse of a right angled triangle is 37cm long and a side is 35cm. Find the length of the third side. 9cm

10cm
11cm
12cm

Answer 1

From the pythagorean theorem:

AB²+BC²=AC²

x+35²=37²

x+1225=1369

x=1369-1225

x²=144 cm

x=radical 144=12

Answer 2

`\huge\boxed{b = 12 cm}`

Explanation:

Using Pythagorean Theorem:

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

Where c is hypotenuse(37 cm), and one of the side is 35 cm.

=>
`37^2 = 35^2 + b^2`

=>
`b^2 = 37^2-35^2\\`

=>
`b^2 = 1369 - 1225\\`

=>
`b^2 = 144`

Taking sqrt on both sides

=> b = 12 cm