**Geometry tips**

August 12, 2019

Geometry: Pythagorean triples (memorize for success)

This is for 7th graders, 8th graders and geometry students, and SAT test takers

Pythagorean triples are integer side lengths of a right triangle. The biggest number is the hypotenuse, and the two smaller numbers are the legs

3,4,5

5,12,13

8,15 17

7, 24, 25

and there multiples like

6,8,10

10,24,26

Example 1:

If the two legs of a right angle triangle are 3cm and 4cm, what is the value of the hypotenuse?

Answer is 5cm

Example 2

if the diagonal of a rectangle is 25in, and the length of the rectangle is 24in, what is the width of the rectangle?

Hint: a diagonal cuts a rectangle into two equal right triangles whose hypotenuse is the diagonal. sketch the rectangle

Answer is 7in