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Recent questions tagged area of triangles and quadrilaterals
+1
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1
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In an equilateral triangle ABC, AD is drawn perpendicular to BC meeting BC in D. Prove that AD^2 = 3BD^2
asked
Feb 17, 2019
in
Class 10
by
kratos
area of triangles and quadrilaterals
cbse
class-9
class-10
triangles
+1
vote
1
answer
The points A (4, -2), B(7,2), C(0, 9) and D(-3, 5) form a parallelogram. Find the length of the altitude of the parallelogram on the base AB.
asked
Feb 14, 2019
in
Class 10
by
kratos
area of triangles and quadrilaterals
cbse
herons formula
perimeter and area
class-9
class-10
class-7
coordinate geometry
+2
votes
1
answer
∆ABC and ∆BDE are two equilateral triangles such that D is the mid-point of BC.
asked
Jan 12, 2019
in
Mathematics
by
kratos
area of triangles and quadrilaterals
areas of similar triangles
cbse
ncert class 10 maths
class-9
class-10
triangles
areas of parallelograms and triangles
+3
votes
1
answer
If in a triangle ABC, ∠A = π/3 and AD is a median then prove that 4AD^2 = b^2 + bc + c^2.
asked
Jan 2, 2019
in
Class 10
by
kratos
area of triangles and quadrilaterals
ncert
class-9
class-7
class-10
triangles
+3
votes
1
answer
In fig., ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that
asked
Dec 25, 2018
in
Class 9
by
kratos
area of triangles and quadrilaterals
class-9
areas of parallelograms and triangles
+1
vote
1
answer
A median of a triangle divides it into two triangles of equal areas. Verify this result for ∆ABC whose vertices are A(4, – 6), B(3, –2) and C(5, 2).
asked
Dec 15, 2018
in
Class 10
by
kratos
area of triangles and quadrilaterals
class-9
class-10
coordinate geometry
areas of parallelograms and triangles
+3
votes
1
answer
The vertices of a triangle ABC are A(1,2); B(3,-2) and C(4,3). Find the equations of its sides.
asked
Dec 12, 2018
in
Class 12
by
kratos
area of triangles and quadrilaterals
straight lines
pair of linear equations in two variables
class-11
vectors
class-9
class-10
class-12
+3
votes
1
answer
pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar (ACB) = ar (ACF) (ii) ar (AEDF) = ar (ABCDE)
asked
Nov 12, 2018
in
Class 9
by
kratos
area of triangles and quadrilaterals
class-9
areas of parallelograms and triangles
+3
votes
1
answer
Using vectors, prove that the parallelogram on the same base and between the same parallels are equal in area.
asked
Nov 8, 2018
in
Class 12
by
kratos
area of triangles and quadrilaterals
vector algebra
applications of vector algebra
class-11
vectors
class-9
class-12
geometry
+3
votes
1
answer
In an equilateral triangle ABC (Fig. 6.2), AD is an altitude. Then 4AD^2 is equal to
asked
Oct 24, 2018
in
JEE
by
kratos
area of triangles and quadrilaterals
jee
class-9
class-10
class-7
jee mains
triangles
+3
votes
1
answer
ABC is a triangle. A line is drawn parallel to BC to meet AB and AC at D and E, respectively.
asked
Sep 16, 2018
in
JEE
by
kratos
area of triangles and quadrilaterals
vector algebra
jee
class-9
jee mains
areas of parallelograms and triangles
+3
votes
1
answer
In the below fig. ABCD is a trapezium in which AB || DC. Prove that ar (∆AOD) = ar(∆BOC).
asked
Sep 14, 2018
in
Class 9
by
kratos
area of triangles and quadrilaterals
class-9
areas of parallelograms and triangles
+1
vote
1
answer
O is any point inside a rectangle ABCD (see Fig. 6.52). Prove that OB^2 + OD^2 = OA^2 + OC^2.
asked
Sep 2, 2018
in
Class 10
by
kratos
area of triangles and quadrilaterals
similarity
quadrilaterals
class-9
class-10
triangles
geometry
+2
votes
1
answer
Centroid of a triangle divides its median in which of the following ratio?
asked
Aug 26, 2018
in
JEE
by
kratos
area of triangles and quadrilaterals
jee
class-9
class-10
jee mains
coordinate geometry
areas of parallelograms and triangles
locus
3d geometry
+3
votes
1
answer
ABCD is parallelogram and E is a point on BC. If the diagonal BD intersects AE at F, prove that AF × FB = EF × FD.
asked
Jul 28, 2018
in
Class 10
by
kratos
area of triangles and quadrilaterals
similarity
class-9
class-10
icse
class-7
triangles
+3
votes
1
answer
If the medians of a ∆ABC intersect at G, show that ar(∆AGB) = ar(∆BGC) = 1/3 ar(∆ABC).
asked
Jul 26, 2018
in
Class 9
by
kratos
area of triangles and quadrilaterals
class-9
areas of parallelograms and triangles
cbse
+2
votes
1
answer
In the given figure ABCD is quadrilateral in which diagonal BD = 24 cm, AL ⊥ BD and CM ⊥ BD such that AL = 9 cm
asked
Jul 19, 2018
in
Class 10
by
kratos
area of triangles and quadrilaterals
class-8
perimeter and area
class-9
class-10
area of a trapezium and a polygon
areas of triangles and quadrilaterals
areas of parallelograms and triangles
+1
vote
1
answer
Prove that Parallelograms on equal bases and between the same parallels are equal in area.
asked
Jul 4, 2018
in
Class 9
by
kratos
area of triangles and quadrilaterals
cbse
class-9
areas of parallelograms and triangles
area of parallelograms and triangle
+2
votes
1
answer
In Fig. below, CD || AE and CY || BA. (i) Name a triangle equal in area of ∆CBX (ii) Prove that ar (∆ ZDE) = ar (∆CZA)
asked
Jun 28, 2018
in
Class 9
by
kratos
area of triangles and quadrilaterals
class-9
areas of parallelograms and triangles
+1
vote
1
answer
A man walks a distance of 3 units from the origin towards the north-east (N 45° E) direction. From there,
asked
Jun 17, 2018
in
JEE
by
kratos
area of triangles and quadrilaterals
vector algebra
jee
kinematics
class-9
jee mains
class-12
complex numbers
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