Question

if we are to show triangle ABC congurent triangle ABD then fill the following blank÷ BD = ​

Answer 1

bc

Step-by-step explanation:

abc=abd

bc=bd

by csact

Answer 2

Step-by-step explanation:

Given that, in two right triangles one side and acute angle of one are equal to the corresponding side and angle of the other

ABC is a triangle and D is the mid-point of BCWe have to prove that the triangles are congruent

Let us consider two right triangles such that

∠B = ∠E = 90 ... (i)

AB = DE ... (ii)

∠C = ∠F ... (iii)

Now observe the two triangles ABC and DEF

∠C = ∠F [From (iii)]

∠B = ∠E [From (i)]

And AB = DE [From (ii)]

So, by AAS congruence criterion, we have

ΔABC ≅ ΔDEF

Therefore, the two triangles are congruent

Hence proved