The sides of triangles are given below. Determine
which of them are right triangles:
(a) 6cm, 8cm, 10cm
(b) 8cm, 13m, 12 cm.
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opton A is the ans.
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Option a) 6cm, 8cm, 10cm
Pythagoras Theorem states that,
(hypotenuse)^2 = (base)^2 + (height)^2
This theorem satisfies the measures in the option a)
• Hypotenuse is the longest side of a right angled triangle.
(10)^2 = (8)^2 + (6)^2
100 = 64 + 36
100 = 100
Hence, it is a right-angled triangle
Whereas this theorem does not satisfy the measures given in option b)
(13)^2 = (12)^2 + (8)^2
169 = 144 + 64
•169 is not equal to 208
Hence it is not a right-angled triangle.
That is why the correct option is option a.
Option a) 6cm, 8cm, 10cm
Pythagoras Theorem states that,
(hypotenuse)^2 = (base)^2 + (height)^2
This theorem satisfies the measures in the option a)
• Hypotenuse is the longest side of a right angled triangle.
(10)^2 = (8)^2 + (6)^2
100 = 64 + 36
100 = 100
Hence, it is a right-angled triangle
Whereas this theorem does not satisfy the measures given in option b)
(13)^2 = (12)^2 + (8)^2
169 = 144 + 64
•169 is not equal to 208
Hence it is not a right-angled triangle.
That is why the correct option is option a.
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