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00:00 - 00:59 | GK questions is that each angle of a triangle is less than the sum of the Other to show that the triangle is acute angled we supposed to prove that triangle which is having one of the angle less than some of the other two then that triangle is an acute angled triangle now suppose there is a triangle something like this so and its name its angle lesson in the triangle ABC with the measure of the angle angle angle B and angle C to the question is saying that one of the angle let us assume that angle A is less than the sum of the other two that is Angle B + angle C this is what we are given in this question now we know that using angle sum property of triangle we know that the sum of all the three angles of the triangle should be equal to 180 degrees this is what angle sum property of triangle says no |

01:00 - 01:59 | the reason is angle sum property from here we can derive the value of Angle B + angle angle b + angle C will be equal to Angle B and angle C will be equal to 180 degree minus angle A know we are going to use this relationship that angle b + angle C is equal to 180 degree minus a year in this inequality so we will have angle a less than angle a less than we will have 27 Angle B + angle C will have 180 degree minus angle A 180 degree minus angle A know this minus angle will go to the other side of the inequality so we will have angle A + angle less than 180 degree angle A + angle is twice of angle is twice of angle A is less than one 180 degree so this two will go to the other side of the equation and |

02:00 - 02:59 | angle a less than 180 degree / to which will give us 90 degree so angle A is less than 90 degree angle A is less than 90 degree swivel have now similarly we can conclude using the same procedure that we have used here we can you can find or we can reach to a conclusion that angle B will also be less than 90 degree and Angle C will also be less than 90 degree now we know that when a triangle has all the three angles which are less than 90 degree then that triangle is called as an acute angled triangle acute angled triangle so this angle this triangle will also be an acute angle triangle which one of the angles is less than the sum of the Other 2nd seaward you are supposed to prove that show the triangle is acute angled so this is the |

03:00 - 03:59 | get all the three in the less than 90 degree that means this triangle is an acute angle triangle that's all thank you |

**Introduction**

**TRIANGLE A plane figure formed by three non-parallel line segments is called a triangle.**

**SIDES The three line segments `AB BC and CA` that form the triangle `ABC` are called the sides of the triangles `ABC.`**

**ANGLES The three angles `\_ BAC \_ ABC and \_ACB` are called the angles of `DeltaABC`.**

**ELEMENTS OR PARTS The three sides `AB BC CA` and three angles `\_A \_B \_C` of a `DeltaABC` are together called the six parts or elements of the `DeltaABC.`**

**INTERIOR The part made up by all such points P which are enclosed by `DeltaABC` is called the interior of `DeltaABC.`**

**EXTERIOR The part made up by all such points Q which are not enclosed by `DeltaABC` is called the exterior of `DeltaABC`.**

**TRIANGULAR REGION The interior of `DeltaABC` together with the `DeltaABC` itself is called the triangular region `ABC`.**

**Naming of triangles by considering the lengths of their sides scalene triangle A triangle whole no two sides are equal is called a scalene triangle.**

**ISOSCELES TRIANGLE A triangle whose two sides are equal is called an isosceles triangle.**