Question
Download Solution PDFIf one angle of triangle PQR is greater than the sum of the other two, the triangle PQR will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If one angle of triangle PQR is greater than the sum of the other two, the triangle PQR will be?
Formula Used:
In a triangle, if one angle is greater than the sum of the other two angles, then that triangle is an obtuse triangle.
Calculation:
Let the angles of triangle PQR be A, B, and C.
Given that A > B + C
Since the sum of the angles in any triangle is 180°:
A + B + C = 180°
From the given condition:
A > B + C
⇒ A > 90° (since B + C < 90°)
⇒ Triangle PQR is an obtuse triangle.
∴ The correct answer is option (3).
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