Types of Triangles Based on Lengths of Sides

Q.

The angles opposite to equal sides of an isosceles triangle are _______.

Q. How many triangles are in the figure given below?

1. 18
2. 14
3. 12
4. 16

Q. If exactly two sides of a triangle are equal, then it is called a/an _______.

1. scalene triangle
2. isosceles triangle
3. equilateral triangle
4. obtuse angled triangle

Q. Observe the figures below and write the type of the triangle based on its sides.

Q.

Question 16
In the given figure, PQ$\perp$RQ, PQ = 5 cm and QR = 5 cm. Then, $△PQR$ is



a) a right-angled triangle but not isosceles
b) an isosceles right-angled triangle
c) isosceles but not a right-angled triangle
d) neither isosceles nor right-angled triangle

Q.

Question 2 Match the following $\begin{array}{cc}\text{Measure of Triangle}& \text{Types of triangle}\\ \text{3 sides of equal length}& \text{Scalene}\\ \text{2 sides of equal length}& \text{Isosceles right angle}\\ \text{All sides are of different length}& \text{Obtuse angle}\\ \text{3 acute angles}& \text{Right angle}\\ \text{1 right angle}& \text{Equilateral}\\ \text{1 obtuse angle}& \text{Acute angle}\\ \text{1 right angle with two sides of equal Length}& \text{Isosceles}\end{array}$

Q.

Find the number of triangles in the given figure.

Figure:

Q. If a triangle has two equal sides, then it is known as triangle.

1. Scalene
2. Isosceles
3. equivalent
4. right

Q.

In an isosceles triangle, the angles opposite to the equal sides are not equal.

1. True

2. False

Q.

Question 3 (c)

Name the following triangle in two different ways: (You may judge the nature of angle by observation)

Q.

In an isosceles triangle the base angles are not equal.

1. True

2. False

Q.

A Scalene triangle is one in which at least two sides are equal.

1. False
2. True

Q.

Write the name of the triangle which has three sides of equal length.

Q.

The lengths of the sides of a triangle are in the ratio $2:3:4$. If the perimeter of triangle is $63cm$, find the lengths of the sides of triangles.

Q.

In a scalene triangle, ___________.

1. 2 sides are equal in length

2. all the sides are equal in length

3. all the sides are unequal in length

4. all the angles are equal

Q.

In the figure, $ABC$ is a triangle

Angles opposite to side $AB$is$\_\_\_\_\_$

Q.

In the figure, $ABC$is a triangle

The angle opposite to the side $AC$ is$\_\_\_\_\_\_$

Q.

A scalene triangle is one in which at least two sides are equal.

1. True
2. False

Q.

An isosceles triangle is one in which __ sides are equal. (Write a number)

Q.

If a triangle is scalene,

1. 2 sides are equal in length

2. all the sides are equal in length

3. all the sides are unequal in length

4. all the angles are equal

Q. If a triangle is scalene, then all its sides are in length.

1. equal
2. unequal
3. symmetrical

Q.

If a triangle is a scalene, then:

1. all the sides are equal in length

2. all the sides are unequal in length

3. all the angles are equal

4. 2 sides are equal in length

Q. In Fig. 12.13, the length (in cm) of each side has been indicated along the side. State for each triangle wheather it is scalene, isosceles or equilateral:

Q. Take three collinear points A, B and C on a page of your note book. Join AB, BC and CA. Is the figure a triangle ? If not, why?

Q.

Match the following

1. 1- c; 2- a; 3- b

2. 1- c; 2- b; 3- a

3. 1- a; 2- c; 3- b

4. 1- a; 2- b; 3- c

Q.

A scalene triangle is one in which at least two sides are equal.

1. True
2. False

Q.

If two sides of a triangle are equal , then it has _____ equal angles.

1. Isosceles triangle

2. Scalene triangle

3. Equilateral triangle

4. Both A & C

Q. Match the following triangles.

1. Scalene
2. Isosceles
3. Equivalent

Q. 1.triangles in which all the angles are equal.
if all the angles in a triangle are equal, then its sides are also-
2.triangles in which all the three sides are equal.
if all the sides in a triangle are equal are equal, then its angles are-
3.triangles which have two equal angles and two equal sides.
if two sides of a triangle are equal, it has- equal angles.
and it two angles of a triangle are equal, it has- equal sides.
4.triangles in which no two sides are equal.
if none of the angles of a triangle are equal then none of these sides are equal.if the three sides of a triangle are unequal then, the three angles are also-

Q.

A scalene triangle is the one in which at least two sides are equal.

1. False
2. True