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.

Answer :

**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 cm ^{2}**

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSABCD is a parallelogram. P is a point on AD such that AP = 1/3 AD and Q is a point on BC such that CQ = 1/3 BC. Prove that AQCP is a parallelogram.NEXTABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD, and DA respectively. Show that the quadrilateral PQRS is a rhombus.

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 Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

The figure formed by joining the mid-points of the adjacent sides of a square is a

RS Aggarwal & V Aggarwal - MathematicsA is given. If lines are drawn through parallel respectively to the sides and forming as shown in the adjoining figure, show that

RS Aggarwal & V Aggarwal - Mathematics