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3) Determine what type of triangle is described in the table below. Make sure to justify your claim with evidence from the table. Sides Slope Length Justification АВ 15 BC 1/2 5v5 AC -1 5v2

3) Determine what type of triangle is described in the table below. Make sure to justify your claim with evidence from the table. Sides Slope Length Justification АВ 15 BC 1/2 5v5 AC -1 5v2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3) Determine what type of triangle is described in the table below. Make sure to justify your claim with evidence from the table. Sides Slope Length Justification АВ 15 BC 1/2 5V5 AC -1 5v2
Transcribed Image Text:3) Determine what type of triangle is described in the table below. Make sure to justify your claim with evidence from the table. Sides Slope Length Justification АВ 15 BC 1/2 5V5 AC -1 5v2
Expert Solution
Step 1

Given that the slope of sides of the triangle is 

AB=0

We get tan(θ)=0⇒θ=0°

So, the line AB parallel to x-axis.

Slope of BC = 0.5

tan(θ)=0.5⇒θ=tan-1(0.5)=26.56°

and Slope of AC = -1

tan(θ)=-1⇒θ=tan-1(-1)=135°

Also we have the length of sides are AB=15, BC=55=11.180 and AC=52=7.071

The length of two sides is always greater than the third side. 

So, the triangle with given length is possible. 

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