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densk [106]
2 years ago
9

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

Mathematics
2 answers:
Ivan2 years ago
7 0

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

Andrej [43]2 years ago
6 0

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}

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