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Worksheet: Using the Pythagorean Theorem

Q1:

Find the area of the triangle , correct to one decimal place.

Q2:

Determine the length of the hypotenuse of a right isosceles triangle whose leg length is 23 cm.

  • A23 cm
  • B cm
  • C cm
  • D cm
  • E cm

Q3:

The figure shows a student’s routes from home to school. Assuming that roads B and C are perpendicular, what distance is saved if he takes road A instead of the other two? Give your answer to two decimal places.

Q4:

The area of a square is 6 962. Find the length of its diagonal.

Q5:

Find the area of a square with a diagonal of 3 cm.

Q6:

is a triangle where , and is the midpoint of . Find the length of .

Q7:

Determine the area of .

Q8:

In rectangle , suppose , , and . Is right angled?

  • Ayes
  • Bno

Q9:

In the isosceles triangle below, , , and . Is a right triangle?

  • Ano
  • Byes

Q10:

From the figure, determine the length correct to the nearest hundredth, if necessary.