How do you draw a right triangle with a hypotenuse of sqrt72 units?

1 Answer
Jun 1, 2017

Draw the arms of a 90° angle with a length of 6 units and the hypotenuse will have a length of sqrt72

Explanation:

Find two square numbers which add up to 72

According to Pythagoras' Theorem:

a^2 + b^2 = c^2

One possibility of such a right-angled triangle is an isosceles right -angled triangle with equal sides of 6 units.

The length of the hypotenuse can be calculated as:

x^2 = 6^2 + 6^2

x^2 = 36+36

x^2 =72

x = sqrt72

So, if you draw the arms of a 90° angle with a length of 6 units, the hypotenuse will have a length of sqrt72