Question

In right angle triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then the Triangle ABC is congruent to?​

Answer 1

Answer:

Triangle DEF By RHS CONGRUENCE RULE

Step-by-step explanation:

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Answer 2

Answer:

We know that ABC and DEF are two right-angled triangles, whose hypotenuses AB = EF and sides AC = DE.

Now, in order two prove that the two triangles are congruent, we need to prove 3 situations in a triangle.

So, ΔABC ≅ ΔDEF, because;

1. AB = EF (Given, equal hypotenuses),

2. AC = DE (Given, the two sides are equal),

and,

3. ∠B = ∠E (Given the triangles are right-angled, so ∠B = ∠D = 90° )

Therefore,

ΔABC ≅ ΔDEF (By RHS congruence rule).

Hence proved.

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