Hindi, asked by mittal16nisha, 1 year ago

vigyapan on chocolate in hindi

Answers

Answered by anish263
1

Explanation:

We have to prove that the difference of two sides of a triangle is less than the third side.

Refer to the attached image.

To prove: AC-AB< BC

Construction: Mark a point 'D' on AC such that the distance AB=AD

Therefore, we have to prove that AC-AD<BC

So, we have to prove that CD < BC

Proof:

Consider triangle ABD,

since AB=AD

Since, opposite angles opposite to the equal opposite sides are always equal.

So, \angle ABD=\angle ADB∠ABD=∠ADB

So, p = p

Now, let \angle DBC=x , \angle BDC=y∠DBC=x,∠BDC=y

Now, using exterior angle property in triangle ABD,

Exterior angle property of a triangle states that the measure of an exterior angle is equal to the sum of the two interior angles.

y=p+\angle Ay=p+∠A (equation 1)

Now, using exterior angle property in triangle BCD,

p=x+\angle Cp=x+∠C

x=p-\angle Cx=p−∠C (equation 2)

Now, by comparing equation 1 and 2,

p+\angle A>p-\angle Cp+∠A>p−∠C

So, y > x

BC > CD

CD < BC

AC - AD < BC

Since, AD = AB

Therefore, AC - AB < BC

Hence, proved.

Answered by ANGRY74
6

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