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

Answer 1

Answer:

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

Step-by-step 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

Answer 2

Answer:

From the pythagorean theorem:

AB²+BC²=AC²

x+35²=37²

x+1225=1369

x=1369-1225

x²=144 cm

x=radical 144=12