minniestar
contestada

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

Respuesta :

ghadisalem2000

Answer:

From the pythagorean theorem:

AB²+BC²=AC²

x+35²=37²

x+1225=1369

x=1369-1225

x²=144 cm

x=radical 144=12

ujalakhan18

Answer:

[tex]\huge\boxed{b = 12 cm}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem:

[tex]c^2 = a^2 + b^2[/tex]

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

=> [tex]37^2 = 35^2 + b^2[/tex]

=> [tex]b^2 = 37^2-35^2\\[/tex]

=> [tex]b^2 = 1369 - 1225\\[/tex]

=> [tex]b^2 = 144[/tex]

Taking sqrt on both sides

=> b = 12 cm