Question

a. In AABC, AD is the bisector of the angle A.
If AB = 3, AC = 6 and BC = 313 , find the
length of AD.(OR)
b. If A(-5, 7), B(-4,-5), C(-1,-6) and D(4,5)
are the vertices of a quadrilateral, then
find the area of the quadrilateral ABCD.
Q​

Answer 1

a.Answer:

In ∆ABC AD is bisector of angleA

Here AB=3 AC=6 and BC=3√3

Now AB/AC=3/6=1/2

According to angle bisector law BD/DC should be 1/2

Since BC=3√3 therefore BD=√3 and DC=2√3

Then we have BD/DC=√3/2√3=1/2

Again here AB^2 +BC^2=AC^2

Therefor it is a right angle traingle and angle B=90°

Hence from right angle ∆ABD we have

AD^2=AB^2+BD^2

Or, AD^2=(3)^2+(√3)^2

Step-by-step explanation: