CK12 - Geometry

Just like you did for triangles,use the Pythagoreantheoremto find the missingside.In

this diagram,you are giventwo measurements:the hypotenuse is cm and the shorterleg is

cm. Find the lengthof the missingleg.

You can leavethe answerin radicalform as shown,or use your calculatorto find the approximatevalueof

cm.

On your own,try this againusinga hypotenuseof feet. Recallthat sincethe triangle
comesfrom an equilateraltriangle,you knowthat the lengthof the shorterleg is half the lengthof the hy-
potenuse.

Now you shouldbe able to identifythe constantratiosin triangles.The hypotenusewill
alwaysbetwicethe lengthof the shorterleg, and the longerleg is alwaysthe productof the lengthof the

shorterleg and. In ratio form,the sides,in orderfrom shortestto longestare in the ratio
.

Example 4

Whatis the lengthof the missingleg in the trianglebelow?

Sincethe lengthof the longerleg is the productof the shorterleg and , you can easilycalculatethis

length.The shortleg is inches,so the longerleg will be inches,or about inches.

Example 5

Whatis below?