Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)

Given right triangle ABC with altitude BD drawn to hypotenuse AC If AB 3 and AC 9 what is the length of AD Note the figure is not drawn to scale class=

Respuesta :

Answer:

The length of AD is 1 unit

Step-by-step explanation:

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

∵ AB = 3 units

∵ AC = 9 units

∵ AD = x

→ Substitute them in the rule above

(3)² = x × 9

∴ 9 = 9x

→ Divide both sides by 9

∵ [tex]\frac{9}{9}[/tex] = [tex]\frac{9x}{9}[/tex]

1 = x

The length of AD is 1 unit