Fig 11.25
8. ABC is isosceles with AB=AC = 7.5 cm and BC =9 cm (Fig 11.26). The height
AD from A to BC, is 6 cm. Find the area of ABC. What will be the height from C
to AB i.e., CE?
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Answer:
In ΔABC, AD=6cm and BC=9cm
Area of triangle=21×base×height=21×BC×AD
=21×9×6=27 cm2
Again, Area of triangle=21×base×height=21×AB×CE
⇒27=21×7.5×CE
⇒ CE=7.527×2
⇒ CE=7.2cm
Thus, height from C to AB i.e., CE is 7.2cm.
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