Question

In two right triangles one side and an acute angle of one are equal to the corresponding side and angle of the other. Prove that the

triangles are congruent.

Answer 1

Let the triangles be ABC andDEF and acute angles be A and D
In triangle ABC and triangle DEF,
angle A=angleD(given)
angleB=angleE(each 90)
AB=DE(given)
Therefore,By ASA congruency,
Triangle ABC is congruent to triangleDEF

Answer 2

Answer:

Step-by-step explanation:

Let the triangles be ABC andDEF and acute angles be A and D

In triangle ABC and triangle DEF,

angle A=angleD(given)

angleB=angleE(each 90)

AB=DE(given)

Therefore,By ASA congruency,

Triangle ABC is congruent to triangle