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Chapter 10: Q8. (page 378)

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

Short Answer

Expert verified

By SSScongruency 螖OBT鈮�螖PQR.

Step by step solution

01

Step 1. Given information.

An obtuse 螖OBT is given.

02

Step 2. Draw the obtuse triangle.

Obtuse螖OBT is drawn below.

Here, 螖OBT is an obtuse triangle as 鈭�OBT>90掳.

03

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.

04

Step 4. Construct the congruent triangle.

Construct 螖PQRsuch that PQ鈮�OB,鈥�PR鈮�OT,鈥�QR鈮�BT.

So,

螖OBT鈮�螖PQR (by SSScongruence criteria)

Therefore,by SSScongruency 螖OBT鈮�螖PQR.

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