Question

one side of a right angled triangle is 10cm the other two are both of length x calculate x to 2 decimal place

Answer 1

Answer: $x = 7.07$

Step-by-step explanation:

Using Pythagoras theorem , since it is a right angled triangle ,

side 1 = 10cm

side 2 = x cm

side 3 = x cm

Pythagoras theorem  states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. That is

$10^{2}=x^{2} +x^{2}$

100 = $2x^{2}$

divide through by 2 , we have

50 = $x^{2}$

find the square root of both sides

$x = \sqrt{50}$

$x = 7.07$