Pythagorean Theorem: 4th grade math exercises corrected in PDF.

Pythagorean theorem with corrected 4th grade math exercises will help you develop interesting knowledge. The student will have to know how to apply the direct part of the Pythagorean theorem in order to calculate the length of a right triangle and then, the reciprocal part in order to verify if a triangle has a right angle. In addition, you will be able to develop your skills with the famous Pythagorean theorem through various corrected problems similar to those in your textbook. Moreover, the Pythagorean theorem is one of the most famous and important theorems in geometry. Indeed, in the fourth grade, students study this theorem and its application in different contexts in detail.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the two sides adjacent to the right angle is equal to the square of the length of the side opposite that angle. In other words, if a right triangle has sides of length a, b and c (with c being the side opposite the right angle), then a² + b² = c².

Series of exercises on the Pythagorean Theorem

Exercise 1:

1) In each of the following cases, calculate, if possible, the length BC.

All lengths are given in centimeters.

Pythagorean theorem.

2) RST is a right triangle in R such that RS = 2 cm and RT = 1 cm. Calculate ST.

Is the result in centimeters a whole number? Otherwise, find a rounding of ST to the nearest tenth of a centimeter.

Exercise 2:

Who is right?

Reciprocal of the Pythagorean theorem.

Exercise 3: The final surprise

Reciprocal of the Pythagorean theorem.

Is the ceiling high enough for Mr. Bricoltou to set up his furniture?

Exercise 4:

A goat C is tied to a stake P planted at the corner of a square meadow of 15 m side.

Approximately how long does the rope have to be for the goat to graze the entire meadow?

Exercise 5: The rectangular parallelepiped

rectangular parallelepiped

How long is the diagonal of the rectangular parallelepiped to the nearest 0.01?

Exercise 6:

Mr. Crésus has a VAGUE lot that he wants to fence.

a VAGUE lot that he wants to fence

Calculate the perimeter of the WAVE field.

Exercise 7:

Pythagorean theorem.

What distance separates the two satellites E and S, knowing that the angle \widehat{TES} is right and that a radio signal takes \frac{1}{60} of second from S to T and \frac{1}{100} of second from E to T ?

(Radio signal speed: 300,000 km/s.)
Exercise 8:

How wide is the highway?

Width of the highway

(No, it’s not 51 meters!)

See the answer key for this exercise.

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