Question

Triangle abc is an equilateral triangle. Point p is on base bc such that pc = 1/3 bc, if ab = 6 cm find ap.

Answer 1

Hola mate this is your answer

Given :abc is an equilateral triangle

ab =6cm

PC =1/3bc

Let pc be x

3x=bc

Since abc is an equilateral triangle

bc=ac=6cm

By putting the value of bc =3x

We get 3x=6

x=2cm

Now bp =2x (bc-pc=bp , 3x-x=2x)

since x=2. , 2x=4

Now by applying Pythagoras theorem in abp

ab sq=bp sq +ap sq (let ap be y)

6sq=4sq+y sq

36-16=ysq

ysq =20

y=2root5

Hence ap =2root5

Hope it helps you