Types of Triangles on the Basis of Side Lengths

Q.

Name the type of triangle.

$△PQR$with $\angle Q=90°$ and $PQ=QR$

Q.

Name the following types of triangle

Triangle with lengths $10cm,12cm$.and $15cm$

Q. In a equilateral triangle, all the three sides of the triangle are equal and each angle measuresdegree

Q. What type of triangle is shown in the figure given below ?

1. Scalene Triangle
2. Isosceles Triangle
3. Equilateral Triangle
4. None

Q. With side lengths of 6 cm, 8 cm and 14 cm, the triangle formed is called as a degenerate triangle.

1. False
2. True

Q.

Classify the following triangles.

$∆MNO$ with $m\angle M=130°,m\angle S=30°,andm\angle O=20°$.

Q. Degenerate triangles have all their three vertices on the same straight line segment.

1. True
2. False

Q. Consider a degenrate triangle $ABC$, with side lengths as $a,b,c$ such that $a=10\text{cm};b=6\text{cm}$, then the length of the third side $c=$

1. $5\text{cm}$
2. $10\text{cm}$
3. $4\text{cm}$

Q. Which of thre following statements are CORRECT ?

1. All equilateral triangles are isosceles triangles.
2. All isosceles triangles are equilateral triangles.
3. Triangles having all their sides and angles as equal in measure are known as equilateral triangles.
4. Triangles having any two of their angles or any of their two sides are equal are known as isosceles triangles.

Q. Which of the following statements are correct ?

1. On the basis of angles, triangles are divided into $3$ subdivisions as scalene triangles, isosceles triangles and equilateral triangles.
2. On the basis of sides, triangles are divided into $3$ subdivisions as right-angled, obtuse-angled and acute-angled triangles.
3. On the basis of angles, triangles are divided into $3$ subdivisions as right-angled, obtuse-angled and acute-angled triangles.
4. On the basis of sides, triangles are divided into $3$ subdivisions as scalene triangles, isosceles triangles and equilateral triangles.

1. $1$ and $2$ Only
2. $2$ and $3$ Only
3. $3$ and $4$ Only
4. $4$ and $1$ Only

Q. If $a,b,c$ are the side lengths of a triangle $ABC$, match the following:

1. Degenerate Triangle
2. Scalene Triangle
3. Isoceles Triangle
4. Not a triangle

Q. Comment on the type of triangle?

1. Right-angled Isosceles triangle
2. Isosceles triangle
3. Right-angled triangle
4. Obtuse-angled triangle

Q. For a $△ABC$, if $\angle B>{90}^{\circ }$, then the triangle is .

1. an acute triangle
2. a right triangle
3. an obtuse triangle