Question

I don’t understand how to complete this problem. Will mark brainly

Answer 1

Answer:

• 6 units²

Step-by-step explanation:

Area of ΔABC is:

• A = 1/2*AB*CD

We have:

• AC = 3
• AD = 1.8

Find CD using Pythagorean:

• CD² = AC² - AD² ⇒ CD² = 3² - 1.8² ⇒ CD² = 5.76 ⇒ CD = √5.76 = 2.4

Find DB using the following identity, coming from ratios of corresponding sides of similar triangles:

• CD² = AD*DB
• 5.76 = 1.8*DB
• DB = 5.76/1.8
• DB = 3.2

Find AB:

• AB = AD + DB
• AB = 1.8 + 3.2
• AB = 5

Find the area of ΔABC:

• A = 1/2*5*2.4
• A = 6 units²