Question

please tell my answer ​

Answer 1

Step-by-step explanation:

All the explaination is on the answer given below.

Answer 2

Step-by-step explanation:

As per the provided information in the given question, we have to prove that ∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 360°.

Here, there are two triangles. ∠1, ∠2 and ∠3 are the interior angles of the first triangle. And, ∠4, ∠5 and ∠6 are the interior angles of the second triangle.

Now, here we will apply the angles sum property of the triangle to prove this.

$\Large \underline{\sf{Angle \; Sum \; Property \; of \; \Delta :}}$

According to the angle sum property of the triangle the sum of the interior angles of any triangle is 180°.

In First triangle where ∠1, ∠2 and ∠3 are the interior angles :

$\mapsto\sf{\angle 1 + \angle 2 + \angle 3 = 180^\circ}$ … ( 1 )

In Second triangle where ∠4, ∠5 and ∠6 are the interior angles :

$\mapsto\sf{\angle 4 + \angle 5 + \angle 6 = 180^\circ}$ … ( 2 )

Now, add equation ( 1 ) and equation ( 2 ). We get,

$\mapsto\sf{\angle 1 + \angle 2 + \angle 3 + \angle 4 + \angle 5 + \angle 6 = 180^\circ + 180^\circ}$

$\mapsto\boxed{\sf{\red{\angle 1 + \angle 2 + \angle 3 + \angle 4 + \angle 5 + \angle 6 = 360^\circ}}}$

Hence, proved!

$\rule{200}2$

Learn More :

About triangles :

• A triangle has 3 sides, 3 vertices and 3 angles.
• There are three types of triangles on the basis of their sides : Equilateral triangle, Isosceles triangle and Scalene triangle.
• Equilateral Triangle : All sides of this triangle are equal. Measure of each interior angle of this triangle is 60°.
• Isosceles Triangle : Two sides of this triangle are equal.
• Scalene Triangle : None of the three sides of the triangle is equal.
• Perimeter of ∆ : Sum of all sides
• Area of ∆ : ½ × base × height

Heron's Formula :

Heron's Formula is used to calculate the area of the triangle when we have only sides of the triangle.

Formula : $\sf{\sqrt{s(s-a)(s-b)(s-c)}}$

Here,

• s = semi-perimeter → Perimeter of ∆ ÷ 2
• a, b , c are sides of ∆.