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Perimeter Using The Pythagorean Theorem WORKSHEET
Suitable for Grades: 8th Grade, IM 2
CCSS: 8.G.B.7
CCSS Description: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Perimeter Using The Pythagorean Theorem WORKSHEET DESCRIPTION
Dive into problem solving with this engaging worksheet on Pythagoras’ Theorem.
In Section A, students calculate the perimeter of various triangles—including right, scalene, and isosceles—by applying the theorem once or twice to find missing lengths.
Section B features triangles drawn on a centimeter square grid. Here, the Pythagorean Theorem is used three times per shape, as each side forms the hypotenuse of a right-angled triangle constructed on the grid.
Section C moves on to compound shapes, including quadrilaterals and trapezoids. Some problems include added constraints such as known areas or side ratios, encouraging deeper, multi-step reasoning.
This resource is ideal for learners aiming to strengthen their problem-solving skills with non-right-angled triangles and more complex geometric shapes.
In Section A, students calculate the perimeter of various triangles—including right, scalene, and isosceles—by applying the theorem once or twice to find missing lengths.
Section B features triangles drawn on a centimeter square grid. Here, the Pythagorean Theorem is used three times per shape, as each side forms the hypotenuse of a right-angled triangle constructed on the grid.
Section C moves on to compound shapes, including quadrilaterals and trapezoids. Some problems include added constraints such as known areas or side ratios, encouraging deeper, multi-step reasoning.
This resource is ideal for learners aiming to strengthen their problem-solving skills with non-right-angled triangles and more complex geometric shapes.



