Question

If dB=4 and dc=6 find ad

Answer 1

See the attached figure
DB = 4 and DC = 6 , We need to find AD

Using Euclid's theorem for the right triangle

∴ DB² = AD * DC

∴ 4² = AD * 6

∴ 6 AD = 16


∴ AD = 16/6 = 8/3 ≈ 2.67

Answer 2

Answer:

AD=2,667

Step-by-step explanation:

Given that ABC is a right triangle, right angled at B

BD is the altitude

Since DB and DC are given we can find tan c using right triangle BCD

tan c = $\frac{DB}{DC} =\frac{4}{6}$

Angle ABD is complement of angle A

In triangle ABC , C is complement of angle A

Hence C = angle ABD

$tan ABD = tan C =\frac{AD}{DB} =\frac{AD}{4}$

Simplify to get

$AD = 4tanC=4(\frac{4}{6} )\\=\frac{8}{3}$