Question

Been struggling with questions like this, can someone please explain the concept?

Answer 1

6 Square Units

Explanation:

From Geometric Means:

AC^2 = AD ( AD + DB)

3 * 3 = 1.8 ( AD + DB)

9 = 1.8 ( AD + DB)

9/1.8 * 10 = AD + DB

AD + DB = 5

1.8 + DB = 5

DB = 5 - 1.8

= 3.2

AND:

CD^2 = AD * BD

CD^2 = 1.8 * 3.2

CD^2 = 5.76

CD = √5.76 = 2.4

Now:

CD = 2.4 = height

AB = AD + BD

= 1.8 + 3.2

= 5

= Base

Area of Triangle:

1/2 Base * Height

1/2 * 5 * 2.4

= 1.2 * 5

= 6

Hence, Answer in Square Units:

6 Square Units

Hope this helps!