Question

In triangle ABC and triangle ALM as shown,AB=10cm,BC=7cm,AC=5cm,LM=5cm,NM=7cm and LN=10cm
Prove that corresponding angles are equal​

Answer 1

Answer:

Given,

A ∆ABC and ∆LMN in which AB= 10 cm , BC= 7cm, AC= 5cm . Also LN=10cm, NM= 7cm, and LM= 5cm respectively.

To prove :- Prove that corresponding angles are equal.

Proof:- In ∆ABC and ∆LMN, we have

AB = LN= 10cm. [given]

BC= NM= 7cm. [given]

AC=LM=5cm. [given]

Therefore,

∆ABC ~ ∆LMN. [ SSS similarity criteria]

and ,we know that if two triangles are similar than their corresponding angles are equal as well as the ratio of their corresponding sides are also equal.