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Chapter 10: Q7. (page 378)

Draw any acute 螖ACU. Use a method based on the SSS postulate to construct a triangle congruent to 螖ACU.

Short Answer

Expert verified

By SSScongruency 螖PQR鈮�螖ACU.

Step by step solution

01

Step 1. Given information.

An acute螖ACU is given.

02

Step 2. Draw the acute triangle.

Acute螖ACU is drawn below.

Here, 螖ACU is an acute triangle as each of the angle has measure less than 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�AC,鈥�PR鈮�AU,鈥�QR鈮�CU.

So,

螖PQR鈮�螖ACU (by SSScongruence criteria)

Therefore,by SSScongruency 螖PQR鈮�螖ACU.

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