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The Triangle and Its Properties

Homework for today .....the topic that I ll complete today

1448 minutes

Mar 10, 6:52 PM

30.0 marks

MCQ

20 questions

AMRITA SINGH

Class Details

Science

Maths

English

8th

Science

Maths

English

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Question Text

Question 1 :
In a triangle $ ABC $, $ AB= AC $ and $ \angle A= 36^{\circ} $. If the internal bisector of $ \angle C $ meets $ AB $ at point $ D $, then

Question 3 :
If length of the largest side of a triangle is 12 cm then other two sides of triangle can be :

Question 4 :
Which is the smallest side in the following triangle? $\displaystyle \angle P:\angle Q:\angle R=1:2:3$

Question 5 :
In $\Delta PQR$, PE is perpendicular bisector of $\angle QPR$, then :

Question 6 :
In a $\Delta$ $PQR$, $PQ = PR$ and $\angle{Q}$ is twice that of $\angle{P}$ . Then $\angle{Q}$ =

Question 7 :
Which side is the hypotenuse for the sides, $89, 39$ and $80$ in a right angled triangle? (Apply Converse of Pythagoras theorem).

Question 8 :
In $\Delta ABC$, if $\angle A = 35^{\circ}$ and $\angle B = 65^{\circ}$, then the longest side of the triangle is :

Question 9 :
In the $\triangle LMN$ $\displaystyle $, angle L is $\displaystyle { 65 }^{ o }$ $\displaystyle $, angle M is a right angle, what would be angle N?

Question 10 :
If two altitudes of a triangle are equal in length, then the triangle is

Question 11 :
The perimeter of rectangle is $140$ cm. If the sides are in the ratio $3 : 4$, find the lengths of the four sides and the two diagonals

Question 12 :
If the smallest number in a Pythagorean triplet is $14$. Find the other two numbers.

Question 13 :
Which is the greatest side in the following triangle? $\displaystyle \angle A:\angle B:\angle C=4:5:6$

Question 14 :
Which of the following sets of side lengths will not form a triangle?

Question 15 :
If a triangle $PQR$ has been constructed taking $QR = 6 $ cm, $PQ = 3 $ cm and $PR = 4 $ cm, then the correct order of the angle of triangle is

Question 16 :
Two poles of heights $3$m and $18$m are standing on a plane ground. If the distance between the feet of the poles is $36$m, find the distance between their tops.

Question 17 :
The lengths of two sides of a triangle are $7 $ cm and $10 $ cm. What is the possible value range of the third side?

Question 18 :
The lengths of two sides of a triangle are $3 $ cm and $4 $ cm. Which of the following, can be the length of third side to form a triangle?

Question 19 :
Find all possible lengths of the third side, if sides of a triangle have $2$ and $5$.

Question 20 :
In $\Delta ABC, A = 50^{\circ}, \angle B = 60^{\circ}$, arranging the sides of the triangle in ascending order, we get :

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