ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 20

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If the bisector of the vertical angle of a triangle bisects the base also, the triangle is isosceles.

Important Questions on Triangles

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 1

In a

△ P Q R

, side

P Q

is produced to

S

so that

Q S = R Q

. If

∠ P Q R = 60 °

, and

∠ R P Q = 70 °

, prove that

P S > R S, P S > P R

.

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 2

In a

△ P Q R, ∠ Q = 35 °, ∠ R = 61 °

, the bisector of

∠ Q P R

cuts

Q R

at

X

. Arrange in descending order

P X, Q X, R X

.

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 3

In the figure, $A B < B C$ . If the base angles of $△ A B C$ are $70 °$ and $50 °$ , state which of the two is $70 °$ . $A M$ bisects the exterior angle $B A X$ and $A P$ is parallel to $C B$ . Find $∠ M A P$ .

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 5

In the figure given below, arrange the angles in descending order of magnitude.

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 6

In the figure given below,

P Q ∥ R T

. Which is the longer side:

P Q

or

P R

?

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 6

In the figure given below, $A B ∥ D C$ . Which is the longer side: $A B$ or $B D$ ?

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 7

If three sides of a triangle are

3, 4

and

5

then the greatest angle is opposite to the side

5

units.

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ICSE Mathematics>Chapter 8 - Triangles>Exercise>Q 7

If two sides of a triangle are unequal, the greater side has the greater angle opposite to it.