# 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

Given:

ΔABC is right angled at B, AB = 9, AC = 15, and D, E are midpoints of sides AB and AC.

Concept Used:

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.

Explanation:

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 Area Area Area = 13.5 cm2

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Critical Thinking Problems on Quadrilaterals44 mins  Quiz | Properties of Parallelogram31 mins  Extras on Quadrilaterals40 mins  Quiz | Basics of Quadrilaterals36 mins  RD Sharma | Extra Qs. of Cyclic Quadrilaterals31 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 