Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.2 Triangles - Exercise Set 10.2 - Page 630: 56

Answer

Doesn’t make any sense

Work Step by Step

According to angle sum property, the sum of all the angles of a triangle is\[{{180}^{\circ }}\]. It is given that two angles of the triangular plot are equal to\[{{90}^{\circ }}\]each. Solve the equation as shown below. \[\begin{align} & m\angle 1+m\angle 2+m\angle 3={{180}^{\circ }} \\ & m\angle 1+{{90}^{\circ }}+{{90}^{\circ }}={{180}^{\circ }} \\ & m\angle 1+{{180}^{\circ }}={{180}^{\circ }} \end{align}\] Here, the sum of two angles is\[{{180}^{\circ }}\]. Therefore, the triangle cannot be constructed as the sum of three angles should not exceed measurement of\[{{180}^{\circ }}\]. This statement doesn’t make any sense.
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