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Grade 7 Pythagoras Theorem

The document is a worksheet on Pythagoras' theorem containing 10 multiple choice, fill in the blank, true/false, and short answer questions related to calculating distances, sides of right triangles, and total line lengths using the Pythagorean theorem. It provides the context and measurements for students to practice applying their understanding of the theorem to solve geometry problems.

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tripti aggarwal
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2K views2 pages

Grade 7 Pythagoras Theorem

The document is a worksheet on Pythagoras' theorem containing 10 multiple choice, fill in the blank, true/false, and short answer questions related to calculating distances, sides of right triangles, and total line lengths using the Pythagorean theorem. It provides the context and measurements for students to practice applying their understanding of the theorem to solve geometry problems.

Uploaded by

tripti aggarwal
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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ID : in-7-Pythagoras-T heorem [1]

Class 7
Pythagoras' Theorem
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Choose correct answer(s) from the given choices

(1) If the distance between B and D is 34 meters, find the distance between A and C.

a. 30 meters b. 38 meters
c. 29 meters d. 33 meters

(2) If the base and height of a right-angled triangle are 60 m and 91 m, respectively. What is the length
of the hypotenuse?
a. 109 m b. 107 m
c. 110 m d. 113 m

Fill in the blanks

(3) If ∠A is a right angle, the perimeter of the triangle is meters (All dimensions are in meters).

(4) Gita (height 86 cm) and Vandita (height 205 cm) are standing in a ground. If the distance between

their toes is 120 cm, the distance between their heads is cm.

(5) Ashish is walking in the north direction. After walking for 85 meters, he takes a left turn and walks

for another 132 meters. He is at a distance of meters from the starting point.

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ID : in-7-Pythagoras-T heorem [2]

(6) Ridhima is walking in the south direction. After walking for 9 meters, she takes a right turn and
walks for another 3 meters. She then takes a left turn and walks for 3 meters. She again takes a

right turn and walks for another 13 meters. She is at a distance of meters from the starting

point.

Check True/False

(7) Sides measuring 56 cm, 68 cm, and 33 cm make a right-angled triangle.


True False

Answer the questions

(8) Find the length of the longest straight line that can be drawn on a paper of size 5 cm X 12 cm.

(9) The hypotenuse of a right-angled triangle is 40 m long. If one of the remaining sides is 24 m long,
what is the length of the remaining side?

(10) Find the total length of all the lines shown in the figure.
(All dimensions are in cm).

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