CK12 - Geometry

If you look at the smallertrianglenow inscribedin the originalshape,you’llnoticethat it is a right triangle

with one leg and hypotenuse So, this is a triangle.If the leg is cm and the hypotenuseis

cm, the missingleg mustbe cm. So, the heightof the isoscelestriangleis cm.

Use this informationalongwith the originalmeasurementof the baseto find the area of the entireisosceles
triangle.

The area of the entireisoscelestriangleis 12cm

2

.

The DistanceFormula

You havealreadylearnedthat you can use the PythagoreanTheoremto understanddifferenttypesof right
triangles,find missinglengths,and identifyPythagoreantriples.You can also applythe PythagoreanTheorem
to a coordinategrid and learnhow to use it to find distancesbetweenpoints.

Example 5

Lookat the pointson the grid below.

Find the lengthof the segmentconnecting