Question

explain RHS congruence rule.

Answer 1

Answer:

RHS Congruence Rule Theorem: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

Step-by-step explanation:

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Answer 2

AnsweR :-

RHS rule :-

$\implies$ If in 2 right triangles the hypotenuse and one side of one Triangle are equal to the hypotenuse and one angle of another Triangle. Then Triangles are congurent.

For example :-

Q - BE and CF are two equal altitudes of a triangle ABC prove it's congurency by RHS rule.

A - In ∆ BEC and ∆ BFC

→ $\angle$ F = $\angle$ E [ each 90°]

→ $\angle$ CFB = $\angle$ BFC [Given]

→ BC = BC [Common]

$\therefore$ ∆ BFC ≈ ∆ BEC [RHS rule]

Some more rules of a Triangle-

ASA rule

When 2 angles and one side of a Triangle are equal to the 2 angles and one side of another Triangle. Then Triangles are congurent.

SAS rule

When 2 sides and one angle of a triangle are equal to the 2 sides and one angle of another Triangle. Then Triangles are congurent.

SSS rule

If 3 sides of a Triangle are equal to the 3 sides of another Triangle. Then Triangles are congurent.

AAS rule

When 2 angles and one sides are equal to 2 angles and one side of a Triangle. Then Triangles are congurent.

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