Equilateral Triangle

Q.

In figure, if QT is perpendicular to PR, $\angle TQR={40}^{\circ }$ and $\angle SPR={30}^{\circ }$ , find x and y. [4 MARKS]

Q. The sides of a triangle are 2𝑥+3𝑦, 𝑥+5𝑦 and 7𝑥−2𝑦.
Find the perimeter.

Q.

Question 115

In $\Delta PQR$ of the given figure, PQ = PR. Find the measures of $\angle Q$ and $\angle R$

Q.

How do you classify triangles?

Q.

A triangle is said to be$\_\_\_\_\_\_$if at least any two of its angles are of the same measure. [equilateral triangle/isosceles triangle]

Q.

Classify the triangle as a scalene, isosceles or equilateral triangle-:

Q.

In $\Delta ABC$, if $\angle$A = ${45}^{\circ }$ and $\angle$B = ${70}^{\circ }$, then the shortest and the longest sides of the triangle, respectively, are?

1. BC, AC

2. AB, AC

3. None of these

4. AB, BC

Q.

Angle ADC measures ___.

1. 120°

2. 90°

3. 60°

4. 30°

Q. Identify the type of triangle.

1. Isosceles
2. Equilateral
3. Obtuse angled

Q. What is the type of triangle shown below?

1. Right angled scalene triangle
2. Acute angled triangle
3. Acute angled scalene triangle
4. Equilateral triangle.

Q.

All equilateral triangles are

1. scalene

2. isosceles

3. isosceles right angled

4. right angled

Q. A triangle that has an angle greater than ${90}^o$ is called as ______ triangle.

1. acute
2. right angled
3. equilateral
4. obtuse

Q. What is the value of $\angle BAC$?

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${90}^{\circ }$
4. ${45}^{\circ }$

Q.

Each angle in an equilateral triangle measures ___.

1. 60°

2. 75°

3. 90°

4. 45°

Q. $\text{Which of the following is correct about}\text{the}△ABC?$

1. Acute
2. Scalene
3. Equilateral
4. Isosceles

Q.

If all three sides of a triangle are 4 cm long, it is a/an ________.

1. right triangle

2. equilateral triangle

3. scalene triangle

4. isosceles triangle

Q. If all the sides of a triangle are equal in length, then such a triangle is called an equilateral triangle.

1. False
2. True

Q.

In a $△$ABC, $\angle$B = ${105}^{\circ }$, $\angle$=${50}^{\circ }$. Find $\angle$A

Q. State which of the following statement are use true and which are false:
A triangle has four sides.

Q.

Find the measure of y in the given figure.

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${90}^{\circ }$
4. ${120}^{\circ }$

Q. Identify the triangle as equiangular, acute, obtuse or right.

Q. $\text{Which of the following is correct about}\text{the}△ABC?$

1. Isosceles
2. Equilateral
3. Acute
4. Scalene

Q. An equilateral triangle is also ____ triangle.

1. a right-angled
2. a scalene
3. an acute angled
4. an obtuse angled