Question

We want to show that ∆ ART = ∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show? *

(a) AT = PN

(b) AT = PE

(c) AT = EN



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Answer 1

Answer:

a. AT=PN

Step-by-step explanation:

Hope it will help you

Answer 2

We must prove AT = PN more.

Given:

There are two triangles, ART and PEN.

AR = PE

RT = EN

To Find:

The pair of third equal side in order to prove that two triangles are equal.

Solution:

It's fairly simple to find the answer to this question, as seen below.

We have two triangles,

ART and PEN

We know that,

The side-Side-Side congruence postulate is the abbreviation for the SSS Criterion.

According to SSN Criterion,

The two triangles are said to be congruent or equal if all three sides of one triangle match the three equivalent sides of the other triangle.

It is already given that,

AR =PE

RT = EN

Then, it is clear that the next pair of sides equal sides will be AT = PN in order to show that the given two triangles are congruent.

Hence, option (a) is correct.

#SPJ3