Question

prove that if two angles and one side of atriangle are equal to twi angles and one side of another triangle.the triangles are congrent .also check if the given pair of triangles are congruent given sides are 7 cm , 7 cm angles are 85 , 55 .in other triangle angles are 55 and 85​

Answer 1

Step-by-step explanation:

i can say only proof

consider 2 triangles ABC and DEF,

such that, angle A = angle D

angle B = angle E

BC = EF

since, two angles are equal, they are similar

triangle ABC≈triangle DEF

since, they are similar, the condition is

(AB/DE)=(BC/EF)=(AC/DF)

But we know, BC=EF

So, (BC/EF)=1

=> (AB/DE)=(BC/EF)=(AC/DF)=1

SINCE, ALL THE SIDES AND ANGLES ARE EQUAL FOR BOTH THE TRIANGLES,

THEY ARE CONGRUENT

SO, IF 2 ANGLES AND ONE SIDE ARE EQUAL TO 2 TRIANGLES, THEY ARE CONGRUENT

HENCE PROVED