        1. Chapter 6 Class 10 Triangles (Term 1)
2. Serial order wise
3. Ex 6.5

Transcript

Ex 6.5,1 Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (i) 7 cm, 24 cm, 25 cm Given sides 7 cm , 24 cm , 25 cm Using Pythagoras theorem , (Hypotenuse)2 = (Height )2 + (Base)2 Here , Hypotenuse Is largest side that is 25 cm Since L.H.S = R.H.S , Pythagoras theorem is satisfied Hence the given triangle is a right angled triangle with Hypotenuse = 25 cm Ex 6.5,1 Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (ii) 3 cm, 8 cm, 6 cm Given sides 3 cm , 8 cm , 6 cm Using Pythagoras theorem , (Hypotenuse)2 = (Height )2 + (Base)2 Here , Hypotenuse Is largest side that is 8 cm Since L.H.S ≠ R.H.S , Pythagoras theorem is not satisfied Hence the given triangle is not a right angled triangle Ex 6.5,1 Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (iii) 50 cm, 80 cm, 100 cm Given sides 50 cm , 80 cm , 100 cm Using Pythagoras theorem , (Hypotenuse)2 = (Height )2 + (Base)2 Here , Hypotenuse Is largest side that is 100 cm Since L.H.S ≠ R.H.S , Pythagoras theorem is not satisfied Hence the given triangle is not a right angled triangle Ex 6.5,1 Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (iv) 13 cm, 12 cm, 5 cm Given sides 13 cm , 12 cm , 5 cm Using Pythagoras theorem , (Hypotenuse)2 = (Height )2 + (Base)2 Here , Hypotenuse Is largest side that is 13 cm Since L.H.S = R.H.S , Pythagoras theorem is satisfied Hence the given triangle is a right angled triangle with Hypotenuse = 13 cm 