Question
(a) What will be the value of x in the following diagram? [3 MARKS]
(b) If a △QPR is right angled at P, which is the longest side of the triangle?
(b) If a △QPR is right angled at P, which is the longest side of the triangle?
Answer:
:
(a)Steps: 1 Mark
Result: 1 Mark
(b) Answer with reason: 1 Mark
(a) According to the question, the three sides of the triangle are equal.
Hence, all angles will also be equal (say x).
Sum of angles of a triangle = 180o
Or, x + x + x = 180o
Or, 3x = 180o
Or x = 180o3 = 60o
(b) In a triangle, the side opposite to the angle with the largest value is the longest.
Here the biggest angle is the right angle, hence QR is the longest side in △QPR, right angled at P.
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:
(a)Steps: 1 Mark
Result: 1 Mark
(b) Answer with reason: 1 Mark
(a) According to the question, the three sides of the triangle are equal.
Hence, all angles will also be equal (say x).
Sum of angles of a triangle = 180o
Or, x + x + x = 180o
Or, 3x = 180o
Or x = 180o3 = 60o
(b) In a triangle, the side opposite to the angle with the largest value is the longest.
Here the biggest angle is the right angle, hence QR is the longest side in △QPR, right angled at P.
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