All ISEE Upper Level Math Resources
Example Questions
Example Question #1 :How To Find The Length Of The Side Of An Acute / Obtuse Isosceles Triangle
Two sides of an isosceles triangle have lengths 3 feet and 4 feet. Which of the following could be the length of the third side?
An isosceles triangle, by definition, has two sides of equal length. Having the third side measure either 3 feet or 4 feet would make the triangle meet this criterion.
3.feet is equal toinches, and 4 feet is equal toinches. We choose 36 inches, since that, but not 48 inches, is a choice.
Example Question #1 :How To Find The Length Of The Side Of An Acute / Obtuse Isosceles Triangle
The triangles are similar. Solve for.
Because the triangles are similar, proportions can be used to solve for the length of the side:
Cross-multiply:
Example Question #6 :Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5
One of the base angles of an isosceles triangle is. Give the measure of the vertex angle.
The base angles of an isosceles triangle are always equal. Therefore both base angles are.
Letthe measure of the third angle. Since the sum of the angles of a triangle is, we can solve accordingly: