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Found in: Page 378


Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Short Answer

Draw any obtuse ΔOBT. Use the SSS method to construct a triangle congruent to ΔOBT.

By SSS congruency ΔOBTΔPQR.

See the step by step solution

Step by Step Solution

Step 1. Given information.

An obtuse ΔOBT is given.

Step 2. Draw the obtuse triangle.

Obtuse ΔOBT is drawn below.

Here, ΔOBT is an obtuse triangle as OBT>90°.

Step 3. Concept used.

According to SSS congruence criteria,

if all the sides of one triangle are congruent to the corresponding sides of other triangle,

then the two triangles are said to be congruent.

Step 4. Construct the congruent triangle.

Construct ΔPQR such that PQOB,PROT,QRBT.


ΔOBTΔPQR (by SSS congruence criteria)

Therefore, by SSS congruency ΔOBTΔPQR.

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