Question:
Can a right triangle with sides 6cm, 10cm and 8cm be formed? Give reason.
Solution:
From the question it is given that,
Sides of the right angle triangle are 6 cm, 10 cm and 8 cm
We know that, the square one side must be equal to the sum of square of other two sides of right angle triangle.
i.e. a2 = b2 + c2
Where, a = 10 cm, b = 8 cm, c = 6 cm
102 = 82 + 62
100 = 64 + 36
100 = 100
∴Right angle triangle is formed by the given sides 6cm, 10cm and 8cm.