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Class 7  >  Mathematics (Maths) Class 7  >  Olympiad Test: The Triangle and Its Properties Download as PDF

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.
Solutions of Olympiad Test: The Triangle and Its Properties questions in English are available as part of our Mathematics (Maths) Class 7 for Class 7 & Olympiad Test: The Triangle and Its Properties solutions in Hindi for Mathematics (Maths) Class 7 course. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free. Attempt Olympiad Test: The Triangle and Its Properties | 20 questions in 20 minutes | Mock test for Class 7 preparation | Free important questions MCQ to study Mathematics (Maths) Class 7 for Class 7 Exam | Download free PDF with solutions
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Olympiad Test: The Triangle and Its Properties - Question 1
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A triangle in which two sides are of equal lengths is called _______________.

Olympiad Test: The Triangle and Its Properties - Question 2
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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
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In the Pythagoras property, the triangle must be ___________ .

Olympiad Test: The Triangle and Its Properties - Question 4
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Find the value of x in this figure.
Olympiad Test: The Triangle and Its Properties - Question 5
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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
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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
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The value of x in the adjoining figure is 
Olympiad Test: The Triangle and Its Properties - Question 8
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What is the value of x in the below figure.
Olympiad Test: The Triangle and Its Properties - Question 9
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Find the value of unknown x in the adjoining figure.
Olympiad Test: The Triangle and Its Properties - Question 10
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What is the measure of angle x ?
Olympiad Test: The Triangle and Its Properties - Question 11
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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
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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,
QR2 = PR2 + PQ2
42+32
=16+9=25
QR = 5cm

Olympiad Test: The Triangle and Its Properties - Question 13
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Which is the longest side in the triangle PQR right angled at P?
Olympiad Test: The Triangle and Its Properties - Question 14
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Which is the longest side in the triangle ABC right angled at B?
Olympiad Test: The Triangle and Its Properties - Question 15
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Which is the longest side of a right triangle?
Olympiad Test: The Triangle and Its Properties - Question 16
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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
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The value of x in the adjoining figure is
Olympiad Test: The Triangle and Its Properties - Question 18
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A triangle in which all three sides are of equal lengths is called _________.
Olympiad Test: The Triangle and Its Properties - Question 19
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Find angle x in below figure
Olympiad Test: The Triangle and Its Properties - Question 20
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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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