Examples with solutions for Properties of the Deltoid: Finding measurments in a kite without the aid of a drawing

Exercise #1

The quadrilateral ABCD is a deltoid.

ΔABC is an equilateral triangle.

The length of the secondary diagonal is 10.

Calculate the length of side AB.

Video Solution

Answer

10

Exercise #2

The quadrilateral ABCD is a deltoid.

AB = AD = 8

BC = 15

Calculate the length of side DC.

Video Solution

Answer

15

Exercise #3

The quadrilateral ABCD is a deltoid.

A=70 ∢A=70

Calculate the size of angle CAD ∢\text{CAD} .

Video Solution

Answer

35

Exercise #4

The quadrilateral ABCD is a deltoid.

AB = AD = BC = DC

The size of angle CAB=30 ∢\text{CAB}=30 .

What is the size of angle ACB ∢ACB ?

Video Solution

Answer

30

Exercise #5

The quadrilateral ABCD is a deltoid.

AB = AD

BC = DC

A=60 ∢A=60

AB=5 AB=5

Calculate the size of the secondary diagonal.

Video Solution

Answer

5

Exercise #6

El cuadrilátero ABCD es un deltoide.

Given:

El ángulo A ∢A es el ángulo superior

D=110  ∢D=110\text{ }

DAC=30 ∢\text{DAC}=30

Find the size of the angle C ∢C

Video Solution

Answer

80