EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 12 - Triangle>IOQM - PRMO and RMO 2018>Q 15

HARD

IOQM - PRMO and RMO

IMPORTANT

Earn 100

Triangles $A B C$ and $D E F$ are such that $∠ A = ∠ D, A B = D E = 17, B C = E F = 10$ and $A C - D F = 12$ . What is $A C + D F$ ?

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Important Questions on Triangle

HARD

IOQM - PRMO and RMO

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 12 - Triangle>IOQM - PRMO and RMO 2018>Q 16

Let

A B C

be an acute-angled triangle and let

H

be its orthocentre. Let

G_{1}, G_{2}

and

G_{3}

be the centroids of the triangles

H B C, H C A

and

H A B,

respectively. If the area of triangle

G_{1} G_{2} G_{3}

is

7

units, what is the area of triangle

A B C

?

HARD

IOQM - PRMO and RMO

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 12 - Triangle>IOQM - PRMO and RMO 2018>Q 17

Let

D

be an interior point of the side

B C

of a triangle

A B C .

Let

I_{1}

and

I_{2}

be the incentres of triangles

A B D

and

A C D

, respectively. Let

A I_{1}

and

A I_{2}

meet

B C

in

E

and

F

, respectively. If

∠ B I_{1} E = 60 °,

what is the measure of

∠ C l_{2} F

in degrees?