IN TRIANGLE ABC AB=6CM,AC=8CM ,BC=10CM AND AD IS PERPENDICULAR ON BC.FIND THE VALUE OF AD^2
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Sol➡️ Area ABC =√( 12*2*4*6) = 24 (cm)^2 using Heron's formula.
Area ABC is also = (1/2) 10*8 * sin B= 24, and so sin B = 0.6., B = 36.87 °
The line perpendicular to AB at X cuts BC at D. Let DX = h & BX = x.
Area BXD =(1/2) x h = 12 (cm)^2. ( given condition)
h = x tan B = 0.6 x.
Area BXD =(1/2) x ( 0.6x) = 12
x = BX = 6.33 cm
————————————————————::::::::::::::::::::::::::::::::::::::.:.:———————-_—————
Verify the result.
h = 6.33* sin B = 6.33* 0.6 = 3.798
Area (1/2) 6.33 *3.798 = 12 cm ^2
Hope this helps you ☺️☺️
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Answer:
the answer is a)23.04
Step-by-step explanation:
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