Construction of Triangles

IMPORTANT

Construction of Triangles: Overview

This topic covers concepts, such as, Construction of Triangle Using Properties of Triangles, Construction of Triangle Given its Two Sides and Angle between Them & Construction of Triangle Given its Two Angles and Side between Them etc.

Important Questions on Construction of Triangles

HARD
IMPORTANT

Examine whether you can construct XYZ such that YZ=5 cm, mY=90° and mZ=100°. Justify your answer.

HARD
IMPORTANT

Examine whether you can construct ABC such that BC=8 cm, mB=110° and mC=75°. Justify your answer.

HARD
IMPORTANT

Construct the following triangle:

ABC, given mA=60°, mB=30° and AB=6 cm.

HARD
IMPORTANT

Construct the following triangle:

DEF such that DE=4 cm, DF=3 cm and mD=90°.

HARD
IMPORTANT

Construct following triangle:

ABC with BC=7 cm, AC=5 cm and mC=60°.

EASY
IMPORTANT

In every triangle sum of two sides is always greater than third side.

MEDIUM
IMPORTANT

How many triangles can be constructed with measure of angles as 80°, 60° & 45°?

EASY
IMPORTANT

State Yes/No whether the following triangle can be constructed.

LMN, LM=5.5 cm, L=60° and N=30°

EASY
IMPORTANT

An equilateral triangle cannot be drawn if one altitude alone is given.

EASY
IMPORTANT

Which of the following is not a criterion for the construction of a triangle?

EASY
IMPORTANT

Which of the following criteria can be used to draw a triangle of sides 5.3 cm, 6.4 cm, and 8 cm ?

EASY
IMPORTANT

A right angled isosceles triangle can be drawn when the hypotenuse alone is given.

EASY
IMPORTANT

The criteria is used to draw a triangle of measurement GH=12 cm, IG=6 cm and G=116° is SAS

EASY
IMPORTANT

What is the minimum number of measures required to construct a triangle?

EASY
IMPORTANT

We can make triangle with the measurements: AB=8 cm, BC=3 cm, AC=4 cm.

EASY
IMPORTANT

If all the angles of a triangle are given, we can construct a unique triangle.

MEDIUM
IMPORTANT

A triangle can be constructed when the measure of its three sides are given.

EASY
IMPORTANT

Which of the following statement is correct?

EASY
IMPORTANT

Can we draw an isosceles triangle with each of the equal sides is of length 3 cm and the angle between them is 45°.(Yes/No)

EASY
IMPORTANT

Is it possible to draw a ABC in which AB=3 cm, BC=5 cm and B=70°.