Question

in an equilateral triangle ABC AD is perpendicular to BCthen find
AD square / BC square
​

Answer 1

Answer:

Hello There,

This is your answer.

Step-by-step explanation:

ABC is an equilateral triangle

Thus, AB = AC = BC = 2a

We know that in an equilateral triangle, the altitude is also the median

Thus, AD is the median

Thus, CD = BC/2 = 2a/2 = a

In triangle ADC, angle D = 90

AC^2 = AD^2 + CD^2

= AD^2 = AC^2 - CD^2

= (2a)^2 - a^2

= 4a^2 - a^2

= 3a^2

AD = Root 3a

AD square / BC square = 3a^2 / 4a^2

HOPE IT HELPS YOU!!!