In triangle ABC,angle ABC=90 AD=DC,AB=12cm and BC=6.5cm. Find the area of triangle ADB
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Answered by
5
hi mate here is your answer ,
the area of triangle is
1/2 ×base × hight
so 1/2×6.5×12=39
hope it helps you
Answered by
14
Answer:
Hey mate
In ∆ ABC
ANGLE A = 90°
Therefore by Pythagoras theorem
AC² = AB² + BC²
AC² =12²+6.5²
AC² = 144 + 42.25
AC² = 186.25
AC = √ 186.25
AC = 13.6
SINCE AD = DC
THEREFORE AD+ DC = AC
AD+ AD = AC (AD=DC)
2AD = AC
AD = AC÷ 2
AD= 13.6÷ 2
AD = 6.8
THEREFORE AD = DC= 6.8
NOW THE AREA OF ∆ ADB
Now, since BD is the median it divides the ΔABC into two equal parts.
2 × Ar(ΔADB) = Ar(ΔABC)
⇒ 2 × Ar(ΔADB) = 39
⇒ Area of ΔADB = 19.5 cm²
HOPE IT HELPS
PLZ MARK BRAINLIEST
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