Question

how would you act if you were the manager of pipalnagar bank ?​

Answer 1

Answer:

In the given triangle PQR,S and T are the mid-points of PQ and PR respectively. Prove that triangle RPS = triangle QPT.

Solution:

Given: In triangle PQR, S is the mid-point of PQ and T is the mid-point of PR.

To prove: triangle RPS =triangle QPT

Construction: S and T are joined

Proof

Statements

1. ST//QR

Reasons

1. ST joins the mid-points of two sides of triangle PQR

Statements

2. Triangle QRT = triangle QRS

Reasons

2. They are on the same base QR and between QR//ST.

Statements

3.Triangle QRT- Triangle QRO = Triangle QRS - Triangle QRO

Reasons

3. The same triangle QRO is subtracted from both the sides of the statement (2)

Statements

4. Triangle ORT = Triangle OQS

Reasons

4. Remaining part of whole

Statements

5. Triangle ORT + quad.PSOT = Triangle OQS + quad.PSOT

Reasons

5. The same quadrilateral PSOT is added to both the sides of the statement (4)

Statements

6. Triangle RPS = Triangle QPT

Reasons

6. Whole part axiom