8th Grade Math Worksheets
First things first, prioritize major topics with our printable compilation of 8th grade math worksheets with answer keys. Pursue conceptual understanding of topics like number systems, expressions and equations, work with radicals and exponents, solve linear equations and inequalities, evaluate and compare functions, understand similarity and congruence, know and apply the Pythagorean Theorem, find volume and surface area, develop an understanding of statistics and probability and much more. Our free math worksheets for grade 8 students make sure they start right!
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Explore 130+ Eighth Grade Pythagorean Theorem Worksheets
This compilation of math worksheets expects learners in grade 8 to square the adjacent and opposite sides of the triangle; take the root of their sum; if they arrive at the hypotenuse, then it's a right triangle.
Check if the sum of the squares of any two numbers in a set equals the square of the other number. If yes, it forms a Pythagorean triple.
Explore the Pythagorean theorem visualized through squares, semicircles, and equilateral triangles, demonstrating the elegant relationship between the sides of a right-angled triangle in these charts.
Unknown Side of a Right Triangle
Plug the known side lengths in the Pythagorean equation; rearrange it to make the unknown side the subject; and solve.
Diagonal of a Rectangle using the Side Length
Use the Pythagorean theorem modified as d = √(l2 + w2) to determine the length of the diagonal of a rectangle.
Visualize the scenarios with a right triangle in place, apply the Pythagorean theorem, and find the length of the hypotenuse.
Area of a Square using Diagonal and Vice Versa
Substitute the diagonal in A = d2/2 to find the area of a square; substitute the area in d = √(2A) to figure out the diagonal length.
Area of a Rectangle using Diagonal and Vice Versa
A diagonal splits a rectangle into two right triangles. The Pythagoras' theorem helps to find the diagonal length using area and vice versa.
Perimeter of Rectangle using Diagonal and Vice Versa
Take the diagonals as the hypotenuse of right triangles, and find the perimeter; also use the perimeter to obtain the diagonal length.
Implement the Pythagorean theorem to figure out the height of the isosceles triangle; apply it in the formula, A = bh/2 to find the area.
