Question

Q2) Match The Following..

Ratio of interior angles of a triangle.
1). 5:5:8
2). 1:3:5
3). 1:1:1
4). 1:2:3
5). 1:1:2

Now Match

Type of the triangle
1). Right- Angled
2). Obtuse- angled
3). Right angled isosceles triangle
4). Isosceles
5). Equiteral.

Plz.. Solve This I Will Mark U As Brainliest.

Answer 1

1- 4
2-2
3-5
4-1
5-3
Please mark as brainliest

Answer 2

We know that, the SUM of the INTERIOR ANGLES of a TRIANGLE=180°.

In every sum, let's take the variable x as the common ratio.

1.5:5:8.

5x+5x+8x=180°.
18x=180°.
x=180/18.
x=10°.

5x=5(10°)=50°.
8x=8(10°)=80°.

Here 2 of the angles are equal i.e. 50°.

So the given triangle is ISOSCLES.(option 4).

2.1:3:5

1x+3x+5x=180°.
9x=180°.
x=180/9.
x=20°.

3x=3(20°)=60°.
5x=5(20°)=100°.

So, it is an obtuse angled triangle.(option 2.).

3.1:1:1

3x=180°.
x=180/3.
x=60°.

So,this is an equilateral triangle.(option 5.).

4.1:2:3

x+2x+3x=180°.
6x=180°
x=30°.
2x=60°
3x=90°

So,this is an right angle triangle.(Option 1.)

5.1:1:2

x+x+2x=180°.
4x=180°.
x=180/4.
x=45°.
2x=90°.

So,this is a right angled isosceles triangle.(option 3.).

Answers:

1-4,2-2,3-5,4-1,5-3...