Question:
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 (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm
Answer:
In a right angle
(hypotenuse)2 = (base)2 + (perpendicular)2 (from Pythagoras theorem)
square of largest number should be equal to the Sum of square other two numbers.
1. 7 cm, 24 cm, 25 cm
(25)2 = (24)2 + (7)2
=> 625 = 576 + 49
=> 625 = 625
So it forms a right triangle.
2. 3 cm, 8 cm, 6 cm
(8)2 = (6)2 + 32
=> 64 = 36 + 9
=> 64 = 45 (it is not possible)
So it doesnot form a right triangle.
3. 50 cm, 80 cm, 100 cm
(100)2 = (80)2 + (50)2
=> 10000 = 6400 + 2500
=> 10000 = 8900 (it is not possible)
So it doesnot form a right triangle.
4. 13 cm, 12 cm, 5 cm
(13)2 = (12)2 + (5)2
=> 169 = 144 + 25
=> 169 = 169
So it forms a right triangle.
Not what you are looking for? Go ahead and submit the question, we will get back to you.
