Question types

P-2 Pythagoras Theorem question types

149 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

149
Questions
6
Question groups
5
Question types
Sample Questions

P-2 Pythagoras Theorem questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Some questions and their alternative answers are given. Select the correct alternative.
In D ABC, AB = $6\sqrt 3$ cm, AC = 12 cm, BC = 6 cm. Find measure of $\angle A$.
 
  • $30^\circ$
  • B
    $60^\circ$
  • C
    $90^\circ$
  • D
    $45^\circ$

Answer: A.

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Some questions and their alternative answers are given. Select the correct alternative.
Height and base of a right angled triangle are $24\ cm$ and $18\ cm$ find the length of its hypotenuse
 
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Some questions and their alternative answers are given. Select the correct alternative.
Altitude on the hypotenuse of a right angled triangle divides it in two parts of lengths 4 cm and 9 cm. Find the length of the altitude.
A. 9 cm
B. 4 cm
C. 6 cm
D. $2\sqrt 6$ cm
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Some questions and their alternative answers are given. Select the correct alternative.
Find perimeter of a square if its diagonal is 10 2 cm.
A. 10 cm
B. $40\sqrt 2$ cm
C. 20 cm
D. 40 cm
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Some questions and their alternative answers are given. Select the correct alternative.
If $a, b, c$ are sides of a triangle and $a^2 + b^2 = c^2$, name the type of triangle.

 
  • A
    Obtuse angled triangle
     
  • B
     Acute angled triangle
     
  • C
    Right angled triangle
     
  • D
    Equilateral triangle
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Solve the following examples.
In ∆ PQR; PQ = $\sqrt 8$ , QR = $\sqrt 5$, PR = $\sqrt 3.$ Is ∆ PQR a right angled triangle? If yes, which angle is of 90°?
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In the figure $2.35, \triangle P 20 QR$ is an equilatral triangle. Point S is on seg QR such that $Q S=\frac{1}{3} Q R$
Prove that : $9 PS ^2=7 PQ ^2$
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In a trapezium $A B C D$, seg $A B \| \operatorname{seg} D C$ seg $B D \perp \operatorname{seg} A D$, seg $A C \perp \operatorname{seg} B C$, If $A D=15, B C=15$ and $A B=25$. Find $A (\square ABCD )$
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