6) If the angles of a triangle are in the ratio of 1:2:1, find all angles. What type of triangle is this?
Answers
Answer:
I think this is a Isosceles triangle
Step-by-step explanation:
Let ABC be the D
Let ∠A=x
∠B=2x
∠C=x
∠A+∠B+∠C=180
4x=180
x=45
∠A=45
∠B=90
∠C=45
Since ∠A=∠C
ABC is isosceles D
4
.
Since ∠B=90
ABC is Right angled at B
Thank you I hope it will help you ☺️☺️ ☺️ please follow me
Answer:
- Angles of triangle are 45°, 90° and 45°.
- This is an isosceles right triangle.
Step-by-step explanation:
Given :-
- Angles of triangle are in ratio of 1:2:1.
To find :-
- All angles of triangle.
- What type of triangle is this.
Solution :-
Let, Angles of triangle be x, 2x and x.
We know,
Sum of all angles of triangle is 180° [We also call this Angle sum property of triangle]
So,
⇒ x + 2x + x = 180°
⇒ 4x = 180°
⇒ x = 180°/4
⇒ x = 45°
Angles :-
• x = 45°
• 2x = 2 × 45° = 90°
• x = 45°
Angles of triangle are 45°, 90° and 45°.
If two angles of triangle are equal, then it's two sides will also equal because if two angles of triangle are equal then it's opposite two sides are also equal.
Thus,
This is an Isosceles right triangle because it's two sides are equal and one angle is 90°.
__________________________
More about triangles!!
Triangles is a plane closed figure or we can say polygon. It have three angles and three sides. Sum of all angles of triangle is 180°.
Types of triangles :
On basis of sides :
- Equilateral triangle : This is a triangle in which all sides and angles are equal.
- Isosceles triangle : This is a triangle in which two angles and two sides are equal.
- Scalene triangle : This is a triangle in which all sides and angles are unequal.
On basis of angles :
- Acute triangle : In this triangle all angles are acute or we can say all angles measure is less than 90°.
- Obtuse triangle : In this triangle one angle is obtuse [Or more than 90°] and other two are acute angles.
- Right triangle [Right angle triangle] : In this triangle one angle is of 90° and other two angles are acute angles.