HARD
Earn 100

Prove that two triangles having the same base and equal areas lie between the same parallels.

Important Questions on Areas of Parallelograms and Triangles

MEDIUM

Construct PQR, in which Q=60°,R=80° and PQ+QR+RS=11 cm.

MEDIUM

Construct ABC, in which B=70°, C=60°AB+BC+AC=11.2 cm.

HARD
Construct a triangle ABC in which BC=7 cm, B=75° and AB+AC=13 cm.
MEDIUM

Construct PQR, in which QR=4.2 cm, Q=40° and PQ+PR=8.5 cm.

MEDIUM

Construct XYZ, such that XY+XZ=10.3 cm, YZ=4.9 cm,XYZ=45°.

MEDIUM

D and E are points on sides AB and AC respectively of ABC such that arDBC=arEBC. Prove that DEBC.

Question Image

MEDIUM

Construct XYZ, in which YZ=6 cm, XY+YZ=9 cm and Y=50°

EASY
Let ABC be a triangle in which BC=5cm,B=60° and AC+AB=7.5cm. Given below are the steps of constructing the ABC. Which of the following steps is INCORRECT?
Step I: Draw a line segment BC of length 5cm.
Step II: Draw an XBC=60° at point B of line segment BC.
Step III: Cut off  PB=3.5cm on the ray BX.
Step IV: Join PC..
Step V: Draw bisector of BC which intersect ray BX at A. Join AC.
Step VI: ABC is the required triangle.
HARD
Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.
MEDIUM

Construct PQR, in which Q=70°, R=80° and PQ+QR+PR=9.5 cm.

MEDIUM
Construct ΔPQR whose perimeter is 12cm and the length of whose sides are in the ratio 2:3:4.
MEDIUM

Construct ABC, in which BC=6.2 cm, C=50° and AB+AC=9.8 cm.

MEDIUM

Construct PBC, in which BC=5.2 cm, C=45° and the perimeter of PBC is 10 cm.

MEDIUM

Construct XYZ in whichY=58°, X=46° and perimeter of triangle is 10.5 cm.

MEDIUM

The perimeter of a triangle is 14.4 cm and the ratio of lengths of its side is 2:3:4. Construct the triangle.

HARD
Construct a triangle XYZ in which Y=30°, Z=90° and XY+YZ+ZX=11 cm.