Question

(14) In A ABC, A-D-B, A-E-C, DE || BC If AD = 4, DB =
6, AE = 10, AC=
A. 15 B. 25
C. 12
D. 8
(15) A ABC - APQR, If AC = 5, PR = 6 ar (ABC) = 50 ar
(PQR) =
A. 60 B.72
C. 36
D. 12​

Answer 1

Step-by-step explanation:

In △AXY and △ABC,

AXBX=AYCY

By converse of equal intercept theorem,

BC∥XY

Thus, ∠ABC=∠AXY and ∠ACB=∠AYX (Corresponding angles)

Also, ∠AXY=∠AYX (Given)

Thus, ∠ABC=∠ACB

hence, △ABC is an Isosceles triangle.