Plzz plzz find the value of a that satisfies the congruency of the triangles. in two or more complete sentences, explain the relevance between the congruency of the triangles and the calculations made in finding the value of a

a=√2

Step-by-step explanation:

Given : ΔEGF ≅ ΔHKJ

where ∠G=∠K [right angle]

∠E=∠H=45°

And ∠F=180°-∠E-∠G [By angle sum property]

⇒∠F=180°-45°-90°

⇒∠F=45°=∠J  [corresponding parts of two congruent triangles are congruent]

⇒ Both triangles are isosceles right triangles such that

JK=HK=b , EG=GF

and EF=JH

Now JK=HK= EG=GF=3√2

Now GF=3a=3√2

⇒a=√2

your answer is d 2,500

step-by-step explanation:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: