in triangle abc angle b is equals to 90 degrees and BD perpendicular to AC .DC =7cm. AD= 3 cm then find the length of BD
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Answered by
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Answer:
The length of BD is
Step-by-step explanation:
Given in triangle abc angle b is equals to 90° and BD perpendicular to AC. DC =7cm. AD= 3 cm. we have to find the value of BD.
Let ∠BAD=Ф ⇒ ∠BCD=90-Ф (As ∠B=90° and ∠A+∠B+∠C=180°)
Also if ∠BAD=Ф ⇒ ∠ABD=90-Ф
If ∠BCD=90-Ф ⇒ ∠DBC=Ф
In ΔABD and ΔBDC
∠BAD=∠DBC=Ф (Proved above)
∠ABD=∠BCD (Proved above)
By AA similarity rule, ΔABD~ΔBDC
hence, we can write
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