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 fig
ure is not drawn to scale.)
1 answer:
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
∵ =
∴ 1 = x
∴ The length of AD is 1 unit
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