EASY
9th ICSE
IMPORTANT
Earn 100

Prove that the base angles of an isosceles triangle are always acute.

Important Questions on Geometry

MEDIUM
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 16
ABC is an isosceles triangle, AB=AC, P and Q are any two-point on AB and AC respectively such that PQ∥BC. Prove that APQ is also an isosceles triangle.
MEDIUM
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 17
In △ABC median AD=BD=CD. Prove that ABC is a right-angled △.
MEDIUM
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 18

In the adjoining figure. Prove that AB∥CD.
Question Image

MEDIUM
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 19
Prove that the difference of any two sides of a triangle is less than the third side.
HARD
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 20
If two isosceles triangle have a common base, prove that the line joining their vertices bisects the base at right angles.
EASY
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 21
In a right-angled triangle, one acute angle is double the other. Prove that the hypotenuse is double the smallest side.
HARD
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 22
If two sides of a triangle are unequal, prove that the greater side has greater angle opposite to it.
MEDIUM
9th ICSE
IMPORTANT
Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 23

Prove that the sum of any two sides of a triangle is greater than its third side.