Which piece of additional information can be used to prove △cea ~ △cdb?

a) ∠bdc and ∠aed are right angles
b) ae ≅ ed
c) △bdc is a right triangle
d) ∠dbc ≅ ∠dcb

Answer-

The correct answer is

∠BDC and ∠AED are right angles

Solution-

In the ΔCEA and ΔCDB,

As this common to both of the triangle.

If ∠BDC and ∠AED are right angles, then

Now as

∠BCD = ∠ACE and ∠BDC = ∠AED,

∠DBC and ∠EAC will be same. (as sum of 3 angles in a triangle is 180°)

Then, ΔCEA ≈ ΔCDB

Therefore, additional information can be used to prove ΔCEA ≈ ΔCDB is ∠BDC and ∠AED are right angles.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c