Monday, September 13, 2010

60-Second Good-To-Knows: 9/13/2010


This week’s topic: Geometry

On the Pythagorean theorem:

The Pythagorean theorem is a geometrical relation among the three sides of a right triangle. A right triangle is one that has one 90-degree angle. The side opposite of this angle is called the hypotenuse, while the sides adjacent (next to) the right angle are called legs.


The theorem reads:
a2 + b2 = c2

c = hypotenuse
b = leg
a = leg


Application:

If you know two sides of a right triangle, can you figure out the third?


Example:

You have a right triangle with one leg measuring 9cm and a hypotenuse of 15cm. What is the measure of the other leg?

According to the Pythagorean theorem,

92 + x2 = 152
92 = 81
152 = 225
81 + x2 = 225
x2 = 225 – 81
x2 = 144
x = 12 cm



x is the leg whose measurement you want to find.

No comments:

Post a Comment