Lesson Worksheet: The Pythagorean Theorem Mathematics
In this worksheet, we will practice using the pythagorean theorem to find a missing length in a right triangle and using the converse of the pythagorean theorem to determine whether a triangle is a right triangle.
Q1:
Find in the right triangle shown.
Q2:
Find in the right triangle shown.
Q3:
Determine the length of the longest side of a right triangle if the lengths of the two other sides are 6 cm and 8 cm.
Q4:
Given that the triangle is right-angled at , , and , find the length of .
Q5:
Find the perimeter of .
Q6:
Determine the diagonal length of the rectangle whose length is 48 cm, and width is 20 cm.
Q7:
Which of the relations below is correct?
- A
- B
- C
- D
Q8:
Find the length of in the trapezoid .
Q9:
is a right triangle at , where and . Find the length of giving the answer to three decimal places.
Q10:
In the figure, if , determine and to the nearest hundredth, if necessary.
- A,
- B,
- C,
- D,