Question

If DB = 4 and DC = 6, find AD. 2 2 3

Answer 1

Answer:

B 2 2/3

Step-by-step explanation:

Triangles ADB and CDB are similar. Therefore similar parts can form a proportion.

AD/DB = DB/DC

AD = ?

DB = 4

DC = 6

x/4 = 4/6    Cross multiply

6x = 16

6x/6 = 16/6

x = 2 4/6 or x = 2 2/3

It's B

Answer 2

ANSWER

$AD =2 \frac{2}{3}$

EXPLANATION

According the Altitude Theorem, the height of the triangle is equal to the geometric mean of the two segment it creates on the hypotenuse.

This implies that:

${4}^{2} =6 AD$

$16 = 6 AD$

Divide both sides by 6.

$AD = \frac{16}{6}$

Simplify

$AD = \frac{8}{3}$

Change to mixed numbers

$AD =2 \frac{2}{3}$