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Olympiad Test: The Triangle and Its Properties


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20 Questions MCQ Test Mathematics (Maths) Class 7 | Olympiad Test: The Triangle and Its Properties

Olympiad Test: The Triangle and Its Properties for Class 7 2023 is part of Mathematics (Maths) Class 7 preparation. The Olympiad Test: The Triangle and Its Properties questions and answers have been prepared according to the Class 7 exam syllabus.The Olympiad Test: The Triangle and Its Properties MCQs are made for Class 7 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: The Triangle and Its Properties below.
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Olympiad Test: The Triangle and Its Properties - Question 1

A triangle in which two sides are of equal lengths is called _______________.

Olympiad Test: The Triangle and Its Properties - Question 2

The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.

Olympiad Test: The Triangle and Its Properties - Question 3

In the Pythagoras property, the triangle must be ___________ .

Olympiad Test: The Triangle and Its Properties - Question 4

Find the value of x in this figure.

Olympiad Test: The Triangle and Its Properties - Question 5

Find the value of x in given figure.

Detailed Solution for Olympiad Test: The Triangle and Its Properties - Question 5

Exterior angle is equal to sum of interior opposite angles so,
120 = 60+x
x = 60°

Olympiad Test: The Triangle and Its Properties - Question 6

In ΔPQR, PD is

Detailed Solution for Olympiad Test: The Triangle and Its Properties - Question 6

Median is a line joining the vertex and middle of the opposite side, and hence dividing the triangle in two equal parts. So PD is the median.

Olympiad Test: The Triangle and Its Properties - Question 7

The value of x in the adjoining figure is 

Olympiad Test: The Triangle and Its Properties - Question 8

What is the value of x in the below figure.

Olympiad Test: The Triangle and Its Properties - Question 9

Find the value of unknown x in the adjoining figure.

Olympiad Test: The Triangle and Its Properties - Question 10

What is the measure of angle x ?

Olympiad Test: The Triangle and Its Properties - Question 11

ΔABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

Detailed Solution for Olympiad Test: The Triangle and Its Properties - Question 11

AB2=AC2+BC2=52+122=25+144 = 169
AB=13 cm

Olympiad Test: The Triangle and Its Properties - Question 12

ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.

Detailed Solution for Olympiad Test: The Triangle and Its Properties - Question 12

Using pythagoras theorem,
QR= PR+ PQ2
42+32
=16+9=25
QR = 5cm

Olympiad Test: The Triangle and Its Properties - Question 13

Which is the longest side in the triangle PQR right angled at P?

Olympiad Test: The Triangle and Its Properties - Question 14

Which is the longest side in the triangle ABC right angled at B?

Olympiad Test: The Triangle and Its Properties - Question 15

Which is the longest side of a right triangle?

Olympiad Test: The Triangle and Its Properties - Question 16

What is the measure of angles x?

Detailed Solution for Olympiad Test: The Triangle and Its Properties - Question 16

Since the two sides are equal, the angles opposite to them are also equal. So x+45° + 45° = 180°, x = 90°

Olympiad Test: The Triangle and Its Properties - Question 17

The value of x in the adjoining figure is

Olympiad Test: The Triangle and Its Properties - Question 18

A triangle in which all three sides are of equal lengths is called _________.

Olympiad Test: The Triangle and Its Properties - Question 19

Find angle x in below figure

Olympiad Test: The Triangle and Its Properties - Question 20

Find angle x in below figure.

Detailed Solution for Olympiad Test: The Triangle and Its Properties - Question 20

Since the two sides are equal, the angles opposite to them are also equal to the adjacent angle of 120° which is equal to 180° - 120° =60° is equal to x. So x = 60°

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