Question

Given:AD = 9 and DC = 4 find BD
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Answer 1

Step-by-step explanation:

• Given: in right angle triangle ABC, BD perpendicular AC if AD = 4 and DC = 9 ,then find BD . In a right angle triangle ABC ,A is common angle ABC = angle ADB. BD is perpendicular to AC . ABC is similar to ADB. AB/AD = AC /AB. AB^2= AD×AC(because AC=AD +CD=4+9=13cm)
• AB^2=4×13
• AB^2=52
• AB=√52
• AB=2√13cm
• AB^2=AD^2+BD^2
• 16+BD^2=52
• BD^2=52-16
• BD^2=36
• BD=6cm