Given kite ABCD  with  AD=AB,  AO=3, and BD=8. Find AD. This is to find the missing side with Vertex angles of Kite ∠A and ∠C, non-vertex angles are ∠D & ∠B, Main Diagonal bisects ∠A and ∠C and cross diagonal bisects ∠D and ∠B. Please help me find side AD

AD = 5

Step-by-step explanation:

Given:

A kite ABCD with following dimensions:

AD = AB

AO = 3 and

BD = 8

To find:

AD = ?

Solution:

Kindly refer to the attached image for the figure of given dimensions.

In a kite, the following properties hold true:

1. The diagonals of a kite are perpendicular to each other.

2. The longer diagonal(along the vertex angles) bisects the shorter one.

Using above properties:

Looking at the

AO = 3

OD = 4

We know that, Pythagoras theorem hold true in every right angled triangle.

According to Pythagorean theorem:

y=mx+