Pythagorean Equation from Variables - Length of Hypotenuse (Radical) (Level 1)

This math topic focuses on applying the Pythagorean theorem to find the hypotenuse of a right triangle, expressing the results in radical form. Each problem gives the values for legs \(a\) and \(b\), and students must calculate the length of hypotenuse \(c\) by finding the square root of the sum of the squares of \(a\) and \(b\). Various questions provide different sets of numerical values for \(a\) and \(b\), requiring learners to compute \(c\) as a radical expression, with multiple-choice format for answers. This forms a fundamental part of understanding the principles of the Pythagorean theorem in geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Pythagorean Equation from Variables - Length of Hypotenuse (Radical) Worksheet

Math worksheet on 'Pythagorean Equation from Variables - Length of Hypotenuse (Radical) (Level 1)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/

1

Find the radical (square root) for the value of 'c' in this equation

a

b

c

2

Find the radical (square root) for the value of 'c' in this equation

a

b

c

3

Find the radical (square root) for the value of 'c' in this equation

a

b

4

Find the radical (square root) for the value of 'c' in this equation

a

b

c

5

Find the radical (square root) for the value of 'c' in this equation

a

b

c

6

Find the radical (square root) for the value of 'c' in this equation

a

b

7

Find the radical (square root) for the value of 'c' in this equation

a

b

c

d