in a triangle ABC, AB =AC and Angle B =50 degree and find the value of angle C
Answers
AB=AC (given)
So they are opposite sides.
So <ABC=<ACB (angles opposite to equal sides are always equal)
So <C= 50°
Hope it helps you....
Answer:
The correct option is B
50
∘
Given, in
△
A
B
C
, AB = AC and
∠
B
=
50
∘
.
We know that angles opposite to equal sides of an isosceles triangle are equal.
⇒
∠
C
=
∠
B
[angles opposite to equal sides ]
⇒
∠
C
=
50
∘
[
∵
∠
B
=
50
∘
(
g
i
v
e
n
)
]
Step-by-step explanation:
The correct option is B
50
∘
Given, in
△
A
B
C
, AB = AC and
∠
B
=
50
∘
.
We know that angles opposite to equal sides of an isosceles triangle are equal.
⇒
∠
C
=
∠
B
[angles opposite to equal sides ]
⇒
∠
C
=
50
∘
[
∵
∠
B
=
50
∘
(
g
i
v
e
n
)
]
A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
How many types of triangles are there in Maths?
There are basically six types of triangles. They are:
Scalene Triangles
Isosceles triangles
Equilateral triangles
Acute triangles
Obtuse triangles
Right triangles
What are the properties of triangles?
Sum of angles of the triangle is equal to 180 degrees.
Exterior angles of a triangle add up to 360 degrees.
Shortest side is always opposite the smallest angle of a triangle.
What is the perimeter and area of a triangle?
The perimeter is the length of the outer boundary of the triangle and area is the region occupied by it in a two-dimensional space.
What is the formula for area and perimeter of a triangle?
The perimeter of triangle = Sum of all three sides
Area = ½ (Product of base and height of a triangle)
What is scalene, isosceles and equilateral triangle?
Scalene, isosceles and equilateral triangle are the types of triangles which differ from each other based on their side-length.
If all the three sides are different in length, then its scalene triangle.
If any two sides are equal in length, then it is an isosceles triangle.
If all three sides are equal in length, then it is an equilateral triangle.
What is the difference between acute triangle, obtuse triangle and right triangle?
An acute triangle has all its angles less than 90 degrees.
An obtuse triangle has any one of its angle greater than 90 degrees.
A right triangle has exactly one angle equal to 90 degrees.
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