Area of a Deltoid: Using variables

Given the deltoid ABCD

The main diagonal is equal to 2a+2

Secondary diagonal is equal to a

The area of the deltoid equals 6a

Calculate a a

5 cm

The deltoid ABCD is shown below.

AC = X

DB = 3X

The area of the deltoid is 27 cm².

Calculate the length of AC.

$\sqrt{18}$

Look at the deltoid ABCD.

The side BD is 13 cm long.

The area of the deltoid is 182 cm².

Calculate $a\text{.}$

$4$

Given the deltoid ABCD

height AE formed by the diagonal extension AC

Side length ED equals 3 cm

The area of the deltoid is equal to 189 cm².

Find the value of the parameter

$9$

Given the deltoid ABCD

Side length BD equals 8 cm

The area of the deltoid is equal to 180 cm².

Find the value of the parameter $a$

$5$

Given the deltoid ABCD

Side length AC equals 7 cm

The area of the deltoid is equal to 252 cm².

Find the value of the parameter $a$

$8$

Below is the deltoid ABCD.

Side length BD equals 7 cm.

The area of the deltoid is equal to 98 cm².

What is the value of $a\text{?}$

$4$

Shown below is the deltoid ABCD.

Side length BD equals 5 cm.

The area of the deltoid is 45 cm².

What is the the value of $a?$

$4.5$

Shown below is the deltoid ABCD.

AC = 2X

DB = X

The area of the deltoid is equal to 32 cm².

Calculate DB.

$\sqrt{32}$

Shown below is the deltoid ABCD.

The diagonal AC = X

Diagonal DB = 5

The area of the deltoid is 20 cm².

Calculate X.

x=8

Shown below is the deltoid ABCD.

Side length MD equals 3 cm.

The area of the deltoid is 180 cm².

What is the value of $b\text{?}$

$15$

Given the deltoid ABCD

Side length MD equals 2 cm

The area of the deltoid is equal to 200 cm².

Find the value of the parameter $b$

$20$

Given the deltoid ABCD

height AE formed by the diagonal extension AC

Side BE equals 5 cm

The area of the deltoid is equal to 160 cm².

Find the value of the parameter $b$

$8$

ABCD is a deltoid.

Side BM equals 4 cm.

The area of the deltoid is equal to 144 cm².

Calculate b.

$6$