Q. 194.8( 6 Votes )
In Fig., triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm and D, E are the mid-points of the sides AB and AC respectively, calculate
(i) The length of BC
(ii) The area of ΔADE.
To Find: The length of BC and the area of ΔADE
ΔABC is right angled at B, AB = 9, AC = 15, and D, E are midpoints of sides AB and AC.
Pythagoras Theorem: According to the Pythagoras theorem, Square of the hypotenuse of a right-angled triangle equal to the sum of squares of base and perpendicular.
AB = 9cm
AC = 15cm
D, E are midpoints of side AB and AC,
(i) by using Pythagoras theorem,
BC = √144
BC = 12cm
(ii) Area of ΔADE
Area = 13.5 cm2
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