A straight line parallel to the base BC ...

A straight line parallel to the base BC of the triangle ABC intersects AB and AC at the points D and E respectively. If the area of the `Delta ABE` be 36 sq. cm, then the area of the `Delta ACD` is

18 sq. cm

36 sq. cm

9 sq.cm

72 sq.cm

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CONGRUENCE AND SIMILAR TRIANGLES
LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
CONGRUENCE AND SIMILAR TRIANGLES
LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
CIRCLE AND ITS TANGENT LINES
LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
ELEMENTARY TRIGONOMETRIC IDENTITIES
LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

Similar Questions

Explore conceptually related problems

Delta ABC is an equilateral triangle and D and E are midpoints of AB and BC respectively. Then the area of Delta ABC : the area of the trapezium ADEC is

In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, find the area of the triangle PQR

In a Delta ABC, D, E and F are the mid-point of sides BC, CA and AB respectively. If area of Delta ABC = 16 cm^(2) , find the area of trapezium FBCE

Three medians AD, BE and CF of Delta ABC intersect at G. The area of Delta ABC is 36 sq. cm. Then the area of Delta CGE is

A circle touches the side BC of Delta ABC at F and touches AB and AC at D and E, respectively. If AD = 8 cm, then find the perimeter of Delta ABC .

in Delta ABC , a line parallel to side BC cuts the side AB and AC at points D and E respectively and also point D divide AB in the ratio of 1 : 4 . If area of Delta ABC is 200 " cm"^2 , then what is the area (in " cm"^2 ) of quadrilateral DECB?

In Delta ABC, D and E are the midpoint of AB and AC respectively. Find the ratio of the areas of Delta ADE and Delta ABC .

A triangle ABC (with usual notations) is a right angled isosceles triangle right angled at B. Let a line isdrawn passing through the centroid 'G' of the triangle and parallel to BC intersecting sides AB and AC at D and E respectively, if length of BC = 9, then the area of quadrilateral ADGF (where F is the midpoint of AC) is

LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A

The points D and E are taken on the sides AB and AC of DeltaABCsuch th...
Text Solution
|
In Delta ABC, AD is the internal bisector of /A, meeting the side BC a...
Text Solution
|
A straight line parallel to the base BC of the triangle ABC intersects...
Text Solution
|
D is any point on side AC of DeltaABC. If P,Q, X, Y are the mid points...
Text Solution
|
In Delta ABC, PQ is parallel to BC. If AP : PB = 1 : 2 and AQ = 3 cm, ...
Text Solution
|
A line parallel to side BC of DeltaABC meets AB and AC respectively at...
Text Solution
|
ABC is an equilateral triangle. P and Q are two points on bar(AB) and ...
Text Solution
|
In DeltaABC, XY is parallel to BC and it divides the triangle into two...
Text Solution
|
In triangle DeltaABC, points E and F lie on sides AB and AC such that ...
Text Solution
|
Point D and E respectively lie on the sides AB and AC of a triangle su...
Text Solution
|
If ratio of area of two similar triangles are 16:9 then ratio of perim...
Text Solution
|
If area of two similar triangle are equal then ratio of their correspo...
Text Solution
|
If ratio of area of two similar triangles are 64:81 and length of inte...
Text Solution
|
Diagonals AC and BD of a quadrilateral intersect at O. It AO:OC=1:2=BO...
Text Solution
|
In a triangle ABC, points D and E respectively lie on side AB and AC s...
Text Solution
|
Point D lies on side BC of a DeltaABC such that angleADC=angleBAC. If ...
Text Solution
|
Which of the following represents the sides of an acute angled triangl...
Text Solution
|
Which of the following combination of sides results in the formation o...
Text Solution
|
If the length of the three sides of a triangle are 6 cm, 8 cm and 10 c...
Text Solution
|
If two sides of an obtuse angled triangle are 8 cm and 15 cm and third...
Text Solution
|