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Chapter 4: Q11. (page 151)

Given that BC炉鈮�CD炉,BD炉鈮�CE炉then prove that螖ABCis isosceles.

Short Answer

Expert verified

螖ABCis isosceles.

Step by step solution

01

Step 1. Check the diagram.

Consider the diagram.

02

Step 2. Apply the concept of SSS postulate.

SSS Postulate states that

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

03

Step 3. Step description.

Consider the triangles: 螖BECand螖CDB

BE炉鈮�CD炉

BD炉鈮�CE炉鈬�EC炉鈮�DB炉

BC炉鈮�CB炉

Thus, by SSS Postulate, 螖BEC鈮�螖CDB.

So, 鈭�EBC鈮�鈭�DCB鈬�鈭�B鈮�鈭�C.

Therefore,螖ABC is isosceles

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Most popular questions from this chapter

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