Scalene Triangle

Q.

In ΔABC , if angleA - angleB=42 and angleB - angleC = 21 , then angleB = ?

Q.

In $△$ABC, $\angle$A = ${100}^{\circ }$ and AB = AC. Find $\angle$B and $\angle$C. [2 MARKs]

Q.

If the angles of a triangle are in arithmetic progression then which of the following will be the property of the triangle?

1. Scalene triangle

2. Isosceles triangle

3. Equilateral Triangle

4. None of these

Q.

In a $△$ABC, $\angle$ABC = ${30}^{\circ }$ and $\angle$ACB = ${45}^{\circ }$. Which is the longest side in this triangle?

1. BC

2. CA

3. AB

4. All are same in length

Q. Prove that --
​​​​cos20°cos40° cos60° cos80° =1

Q. $\text{In}△ABC,\angle C={60}^{\circ }\text{and}\angle C>\angle B.\text{Which is the longest side of the triangle?}$

1. AB
2. BC
3. AC
4. Cannot be determined

Q.

Sides of a triangle are 1, 2 and 3. What will be the angles of the triangle?

1. 30, 75, 90

2. 30, 60, 90

3. 25, 75, 80

4. 36, 72, 108

Q.

In ∆ABC, ∠A = 50^o, ∠B = 60^o and ∠C = 70^o. Find the measures of the angles of the triangle formed by

joining the mid points of the sides of this triangle.

1. 60^o, 40^o, 80^o

2. 40^o, 50^o, 90^o

3. 30^o, 45^o, 105^o

4. 50^o, 60^o, 70^o

Q. In ∆ABC, ∠A + ∠B = 125° and ∠A + ∠C = 113°. Find ∠A, ∠B and ∠C.

Q.

Use the following information to answer the next question.

The given figure shows an isosceles ΔABC with AB = BC. Sides BC and AC are extended to D and E respectively, such that CD and CE along with DE form sides of ΔCDE.

How can ΔCDE be classified?

1. Acute-angled and isosceles

2. Acute-angled and scalene

3. Right-angled and scalene

4. Right-angled and isosceles

Q.

In a $△$ABC, $\angle$ABC = ${30}^{\circ }$ and $\angle$ACB = ${45}^{\circ }$. Which is the longest side in this triangle?

1. CA

2. All are same in length

3. AB

4. BC

Q. In ∆ABC, if ∠A + ∠B = 108° and ∠B + ∠C = 130°, find ∠A, ∠B and ∠C.

Q. In $∆$ABC, $\angle A=x°,\angle B=3x°and\angle C=y°$. If 3y $-$ 5x = 30. Prove that the triangle is right angled.

Q.

Respected Sir,

Please help me in solving my below mentioned doubt:

Question is: In a triangle ABC, if AB = AC and AB is produced to D such that BD =BC, find angle ACD : angle ADC.

Q. Which of the following cases would form a triangle?

1. Case 1
2. Case 2
3. Case 3
4. Case 4

Q. 32. If there is a scalene triangle of sides 4 5 and 6 cm and equilateral triangle is imposed in it then find the side of this equilateral triangle

Q. In the given figure, AD divides ∠BAC in the ratio 1 : 3 and AD = DB. Determine the value of x.

Q. A triangle similar to triangle having sides 3cm, 4cm, 5cm is drawn with a scale factor 2.fubd the length of sides of new triangle

Q.

In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is

1. Equilateral Triangle

2. Congruent To Δ Abc

3. Scalene Triangle

4. Isosceles Triangle

Q. In a given fig 2.65 , AD divides $\angle$BAC in the ratio 1:3 and AD = DB. Determine the value of x.

Q.

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

1. True
2. False

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. Burst the bubbles if the sides form a scalene triangle.

1. 5 cm, 5 cm, 8 cm
2. 3 cm, 3 cm, 3 cm
3. 2 cm, 3 cm, 4 cm
4. 7 cm, 3 cm, 7 cm
5. 8 cm, 4 cm, 5 cm
6. 23cm, 13cm, 31cm
7. 10cm, 9cm, 12cm
8. 7cm, 15cm, 20cm
9. 11cm, 11cm, 11cm

Q. Match the following triangles.

1. Scalene
2. Isosceles
3. Equilateral

Q. Take three non-collinear points $A,B$ and $C$ on a page of your notebook. Join $AB,BC$ and $CA$. What figure do you get? Name the triangle. Also, name the vertex opposite to side $BC$

Q.

Why do you need to use special right triangles ?

Q. Given a ∆ABC in which
I. ∠A, ∠B and ∠C are in the ratio 3 : 2 : 1.
II. AB, AC and BC are in the ratio $3:\sqrt{3}:2\sqrt{3}$ and $AB=3\sqrt{3}\mathrm{cm}$.
Is ∆ABC a right triangle?
The question give above has two Statements I and II. Answer the question by using instructions given below:
(a) If the question can be answered by one of the given statements only and not by the other.
(b) If the question can be answered by using either statement along.
(c) If the question can be answered by using both the statements but cannot be answered by using either statement.
(d) If the question cannot be answered even by using both the statements together.

Q. Match the following triangles.

1. Scalene
2. Isosceles
3. Equilateral

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

1. equal
2. unequal
3. symmetrical