Triangles — Important Questions
Maharashtra Board · Class 9 · Mathematics
45 important questions from Triangles for Maharashtra Board Class 9 Mathematics, with answers. Part of the Maharashtra Board Class 9 Mathematics syllabus.
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Important Questions from Triangles
Which of the following are valid tests for triangle congruence? (Select all correct answers)
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SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), RHS (Right angle-Hypotenuse-Side)
Valid congruence tests are: SSS (all three sides equal), SAS (two sides and included angle), ASA (two angles and included side), and RHS (for right triangles). AAA only shows similarity, not congruence, as triangles can have same angles but different sizes.
If triangle ABC is isosceles with AB = AC = 10 cm and BC = 12 cm, find the length of the altitude from A to BC.
The exterior angle of a triangle is always greater than either of its remote interior angles.
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True
This is the exterior angle theorem property. An exterior angle equals the sum of its two remote interior angles, so it must be greater than either individual remote interior angle. If exterior angle = angle1 + angle2, then exterior angle > angle1 and exterior angle > angle2.
Match each triangle type with its angle property:
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Equilateral triangle - All angles are 60°
Equilateral triangles have all sides equal, so all angles are 60°. Isosceles triangles have two equal sides, so two base angles are equal. Right triangles have one 90° angle. Scalene triangles have all sides different, so all angles are different.
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