Question

20. Find the value of 'x' from the given triangle ∆ABC and ∆ DEC
AB = 24
BC=22
CE=x
ED=14​

Answer 1

Answer:

CE=22 cm

Step-by-step explanation:

Given:-

In ∆ABC and ∆ DEC,

AB = 24 cm

BC=22 cm

ED=14​ cm

To find:- CE=x

A/q;

BC=22 cm

∠ BAC= ∠ CDE

⇒ BC = CE    

[∵ opposite sides of equal angles are equal]

∴ BC = CE = 22 cm

Equality of Opposite angles whilst Two sides of a Triangle are identical

If sides of a triangle are identical, then the angles contrary to the identical sides also are equal.

Introduction

The lengths of sides in a triangle may be identical. It is viable only in the case of each equilateral triangle and isosceles triangle.

Due to the equality property of sides in the triangle, the angles which might be contrary to them also are identical geometrically. This theorem also can be proved in geometry on the idea of symmetry property.

Therefore, it is cleared that the angles contrary to the 2 sides of identical length are equal in a triangle.

In the given figure, AB||CD and BC||ED. Find the value of x:-

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Prove triangle ABC is congruent to triangle EDC:-

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