Please help the question is below

1.	Please help the question is below
Answer» Step-by-step EXPLANATION: Brainly.in What is your question? sameersinhaa04 sameersinhaa04 18.03.2018 Math Secondary School +5 pts Answered Cde is an equilateral triangle FORMED on a side CD of a square abcd.show that ∆ADE=∆BCE. 2 SEE ANSWERS eminemrules101 To prove congruence or similarity? eminemrules101 eminemrules101 Hope it helps ya..... Cheers SerenaBochenek Answer: The triangles are congruent by SAS rule. Step-by-step explanation: GIVEN CDE is an equilateral triangle formed on a side CD of a square ABCD. We have to prove that ∆ADE≅∆BCE. Since all sides of equilateral triangle are equal and all ANGLES are of 60° ⇒ CD=DE=EC → (1) Since all sides of square are congruent and all angles are of 90° ⇒ AB=BC=CD=DA → (2) ∴ ∠ADE=∠ADC+∠CDE=90+60=150° ∠BCE=∠BCD+∠DCE=90+60=150° In ∆ADE and ∆BCE AD=BC (∵ From 2) DE=EC (∵ From 1) ∠ADE=∠BCE (∵each 150°) By SAS congruency rule ∆ADE≅∆BCE.

Answer»

Step-by-step EXPLANATION:

Brainly.in

What is your question?

sameersinhaa04

18.03.2018

Math

Secondary School

+5 pts

Answered

Cde is an equilateral triangle FORMED on a side CD of a square abcd.show that ∆ADE=∆BCE.

SEE ANSWERS

eminemrules101

To prove congruence or similarity?

eminemrules101

Hope it helps ya.....

Cheers

SerenaBochenek

Answer:

The triangles are congruent by SAS rule.

Step-by-step explanation:

GIVEN CDE is an equilateral triangle formed on a side CD of a square ABCD.

We have to prove that ∆ADE≅∆BCE.

Since all sides of equilateral triangle are equal and all ANGLES are of 60°

⇒ CD=DE=EC → (1)

Since all sides of square are congruent and all angles are of 90°

⇒ AB=BC=CD=DA → (2)

∴ ∠ADE=∠ADC+∠CDE=90+60=150°

∠BCE=∠BCD+∠DCE=90+60=150°

In ∆ADE and ∆BCE

AD=BC (∵ From 2)

DE=EC (∵ From 1)

∠ADE=∠BCE (∵each 150°)

By SAS congruency rule ∆ADE≅∆BCE.

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