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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Test

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Exercise 10 Page 345

Start by finding the third angle of the triangle using the Triangle Angle-Sum Theorem.

KV, VM, KM

Practice makes perfect

We want to order the sides of the given triangle from shortest to longest.

First, let's find the third angle of the triangle using the Triangle Angle-Sum Theorem.

m∠ K + m∠ V +m∠ M=180

m∠ K= 40, m∠ V= 110

40+ 110 + m∠ M=180

▼

Solve for m∠ M

Add terms

150 + m∠ M=180

LHS-150=RHS-150

m∠ M=30

Let's add this newly found measurement to the triangle.

We know that, if two angles of a triangle are not congruent, then the longer side lies opposite the larger angle. Applying this fact, we can order the sides from shortest to longest. ccccc 30^(∘) & < & 40^(∘) & < & 110^(∘) m∠ M& < & m∠ K & < & m∠ V KV & < & VM & < & KM