Construction of Triangles

IMPORTANT

Construction of Triangles: Overview

This topic covers concepts such as construction of a triangle using ruler and compass, construction of triangle, given its base, a base angle and sum of other two sides, construction of a triangle, given its perimeter and its two base angles, etc.

Important Questions on Construction of Triangles

HARD
IMPORTANT

In the construction of ABC in which A=70°, AB=4 cm and AC=6 cm, the measure of BC (to the nearest whole number) is _____ cm.

HARD
IMPORTANT

In ABCA+B=120° and A-B=20°. To construct the given triangle, what should be the value of A-C

MEDIUM
IMPORTANT

A triangle can be constructed in which AC=7 cm, C=30° and BC-AB=5 cm.

EASY
IMPORTANT

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

MEDIUM
IMPORTANT

Which of these triangle can be constructed?

HARD
IMPORTANT

In the construction of LMN, if LM=6 cm, MN=6 cm and NL=6 cm, then M is equal to

MEDIUM
IMPORTANT

How many triangles can be constructed with measure of angles as 50°, 60° & 70°?

MEDIUM
IMPORTANT

You do not need all the six elements, i.e., the three angles and three sides of a triangle to construct a triangle

MEDIUM
IMPORTANT

A triangle can be constructed with given data of measure of only one side length. Then, the triangle must be a/an

MEDIUM
IMPORTANT

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

MEDIUM
IMPORTANT

A CAR in which CA=8 cm, A=B=C=60° and AR=8 cm. What kind of triangle is this?

EASY
IMPORTANT

If ABC can be constructed when measure of one of its side is given, then ABC is an _____ triangle.

HARD
IMPORTANT

XYZ is constructed such that XY=5 cm, XZ=5 cm and ZXY=50°. Identify the type of triangle constructed.

HARD
IMPORTANT

Identify the criterion for constructing an isosceles triangle ABC, given B=90° and a non-equal side AC=4 cm.

HARD
IMPORTANT

In the construction of LMN, if LM=2.5 cm, MN=6 cm and NL=6.5cm, then M is equal to

HARD
IMPORTANT

In the construction of ABC in which A=70°, AB=4 cm and AC=6 cm, the measure of BC (to the nearest whole number) is _____ cm.

HARD
IMPORTANT

In the construction of DEF, such that DE=DF=4 cm and EF=6 cm, the measures of E and F respectively are

EASY
IMPORTANT

What are the minimum number of elements required to construct a triangle?

EASY
IMPORTANT

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

MEDIUM
IMPORTANT

Which of these triangle can be constructed?