Question

In Triangel ABC, AD is the bisector of BAC and is perpendicular to the side
BC. Find the values of x and y.​

Answer 1

if AD is angle bisector and also perpendicular to BC then ,

∆BAD≈∆CAD ...(RHS criteria)

=> x-1 = 2x-5 (CPCT)

=> x = 4

also, 2x = 5y -2 ( CPCT)

=> 2×4 = 5y-2

=> 5y = 10

=> y = 2

Answer 2

Answer:

x=4 and y=2

Step-by-step explanation:

In the ΔABD and Δ ACD

AD is common

∠ADB = ∠ADC=90

∠BAD = ∠CAD

Thus ΔABD ≅ Δ ACD

So BD=CD

x-1=2x-5, x=4

Also AB=AC

Thus 2x=5y-2

2*4=5y-2

5y=10 Or y=2