In triangle PQR, angle Q = 90°, find: PR, if PQ = 8 cm and QR = 6 cm
Question types
Pythagoras Theorem question types
22 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
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3
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5
Question types
Sample Questions
Pythagoras Theorem questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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In the given figure, angle $B A C=90^{\circ}, A C=400 m$, and $A B=300 m$. Find the length of $B C$.
View full solution →The sides of a certain triangle is given below. Find, which of them is right-triangle
$6 m, 9 m \text {, and } 13 m$
View full solution →$6 m, 9 m \text {, and } 13 m$
The sides of a certain triangle is given below. Find, which of them is right-triangle
$16 cm, 20 cm$ and $12 cm$
View full solution →$16 cm, 20 cm$ and $12 cm$
Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.
In triangle $PQR,$ angle $Q = 90^\circ$, find:$ PQ,$ if $PR = 34\ cm$ and $QR = 30\ cm$
View full solution →Triangle PQR is right-angled at vertex R. Calculate the length of PR, if: PQ = 34 cm and QR = 33.6 cm.
A boy first goes 5 m due north and then 12 m due east. Find the distance between the initial and the final position of the boy.
In the given figure, angle $A C B=90^{\circ}=$ angle $A C D$. If $A B=10 m , B C$ $=6 cm$ and $A D=17 cm$, find :
(i) $AC$
(ii) $CD$
View full solution →(i) $AC$
(ii) $CD$
Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm
In the given figure, angle $A C B=90^{\circ}=$ angle $A C D$. If $A B=10 m , B C$ $=6 cm$ and $A D=17 cm$, find :
(i) $AC$
(ii) $CD$
View full solution →(i) $AC$
(ii) $CD$
Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm
In the given figure, angle $A C P=\angle B D P=90^{\circ}, A C=12 m , B D=9 m$ and $P A=P B=15 m$. Find:
(i) $CP$
(ii) $PD$
(iii) $C D$
View full solution →(i) $CP$
(ii) $PD$
(iii) $C D$
A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?
In the given figure, $A D=13 cm , B C=12 cm , A B=3 cm$ and angle $A C D=$ angle $A B C=90^{\circ}$. Find the length of $D C$.
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