Math, asked by mandalsowhardya52201, 9 months ago

DRAW AN ISOSCELES TRIANGLE WHOSE BASE IS 7 CM AND THE SUM OF TWO ANGLES AT BASE IS 140.
PLEASE SOLVE THIS PROBLEM ..
I AM MARK AS BRAINLIST........​

Answers

Answered by Anonymous
1

Answer:

Step-by-step explanation:

A triangle which has two of its sides equal in length.

Try this Drag the orange dots on each vertex to reshape the triangle. Notice it always remains an isosceles triangle, the sides AB and AC always remain equal in length

The word isosceles is pronounced "eye-sos-ell-ease" with the emphasis on the 'sos'. It is any triangle that has two sides the same length.

If all three sides are the same length it is called an equilateral triangle. Obviously all equilateral triangles also have all the properties of an isosceles triangle.

Properties

The unequal side of an isosceles triangle is usually referred to as the 'base' of the triangle.

The base angles of an isosceles triangle are always equal. In the figure above, the angles ∠ABC and ∠ACB are always the same

When the 3rd angle is a right angle, it is called a "right isosceles triangle".

The altitude is a perpendicular distance from the base to the topmost vertex.

 

Constructing an Isosceles Triangle

It is possible to construct an isosceles triangle of given dimensions using just a compass and straightedge. See these three constructions:

Isosceles triangle, given base and side

Isosceles triangle, given base and altitude

Isosceles triangle, given leg and apex angle

Solving an isosceles triangle

The base, leg or altitude of an isosceles triangle can be found if you know the other two. A perpendicular bisector of the base forms an altitude of the triangle as shown on the right. This forms two congruent right triangles that can be solved using Pythagoras' Theorem as shown below.

Finding the base

To find the base given the leg and altitude, use the formula:

Base = 2  √   L 2  −  A 2    

where:

L  is the length of a leg

A  is the altitude

Finding the leg

To find the leg length given the base and altitude, use the formula:

Leg =  √   A 2  +    

   

B

2

   

 2    

where:

B  is the length of the base

A  is the altitude

Altitude

To find the altitude given the base and leg, use the formula:

Altitude =  √   L 2  −    

   

B

2

   

 2    

where:

L  is the length of a leg

B  is the base

Interior angles

apex angle of isosceles triangleIf you are given one interior angle of an isosceles triangle you can find the other two.

For example, We are given the angle at the apex as shown on the right of 40°. We know that the interior angles of all triangles add to 180°. So the two base angles must add up to 180-40, or 140°. Since the two base angles are congruent (same measure), they are each 70°.

base angle of isosceles triangleIf we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°. So the apex angle must be 180-45-45 or 90°.

 

Other triangle topics

General

Triangle definition

Hypotenuse

Triangle interior angles

Triangle exterior angles

Triangle exterior angle theorem

Pythagorean Theorem

Proof of the Pythagorean Theorem

Pythagorean triples

Triangle circumcircle

Triangle incircle

Triangle medians

Triangle altitudes

Midsegment of a triangle

Triangle inequality

Side / angle relationship

Perimeter / Area

Perimeter of a triangle

Area of a triangle

Heron's formula

Area of an equilateral triangle

Area by the "side angle side" method

Area of a triangle with fixed perimeter

Triangle types

Right triangle

Isosceles triangle

Scalene triangle

Equilateral triangle

Equiangular triangle

Obtuse triangle

Acute triangle

3-4-5 triangle

30-60-90 triangle

45-45-90 triangle

 

Triangle centers

Answered by Anonymous
2

Answer:

construction:

1) Draw a base AB =7cm

2)mark the angle 140 at both sides A and B.

3)now make a line through A and B

4)join the both lines.

5) Mark point C where the both lines meet.

than you will get the required triangle.

Step-by-step explanation:

hope it helps .

Mark as brainlist.

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