2
Question
Check if the triangle is acute, right, or an obtuse triangle with side lengths as 6, 8, and 11 units. [2 Marks]
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Solution
According to the length, we know that side with length 11 cm is the longest side.
Compare the square lengths of both the sides in the equation c2 = a2 + b2.
(11)2 = (6)2 + (8)2
121 = 36 + 64
121 = 100
Hence, (11)2 > (6)2 + (8)2
[1 Mark]
Therefore, according to the application of converse of Pythagoras theorem, If the sum of the squares of two sides of a triangle is less than the square of the hypotenuse, the triangle is an obtuse triangle, the triangle is an obtuse triangle.
[1 Mark]
According to the length, we know that side with length 11 cm is the longest side.
Compare the square lengths of both the sides in the equation c2 = a2 + b2.
(11)2 = (6)2 + (8)2
121 = 36 + 64
121 = 100
Hence, (11)2 > (6)2 + (8)2
[1 Mark]
Therefore, according to the application of converse of Pythagoras theorem, If the sum of the squares of two sides of a triangle is less than the square of the hypotenuse, the triangle is an obtuse triangle, the triangle is an obtuse triangle.
[1 Mark]
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