Pythagorean Triples (Scaled) - Length of Hypotenuse (Level 2)

This math topic deals with finding the length of missing sides in triangles using the Pythagorean theorem. It focuses particularly on scaled Pythagorean triples. The problems vary slightly in complexity but maintain the same concept throughout, requiring students to accurately compute and apply the theorem to deduce side lengths, presented numerically. Lists of multiple possible answers are provided for each problem, and students are tasked with choosing the correct length based on their calculations. This set of exercises is part of an introductory unit on Pythagorean triples.

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

Pythagorean Triples (Scaled) - Length of Hypotenuse Worksheet

Math worksheet on 'Pythagorean Triples (Scaled) - Length of Hypotenuse (Level 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/

1

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

2,400

b

2,600

c

3,500

d

2,100

e

2,200

f

2,500

2

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

2,000

b

1,900

c

2,300

d

1,100

e

2,200

f

1,800

3

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

250

b

270

c

220

d

280

e

230

f

260

4

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

1,200

b

1,500

c

1,600

d

1,800

e

10,800

f

1,300

5

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

180

b

200

c

110

d

190

e

210

f

170

6

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

6,000

b

1,100

c

1,500

d

1,200

e

1,400

f

1,300

7

Find the length of the missing side as a decimal value based on the Pythagorean theorem

a

1,900

b

2,800

c

2,000

d

2,200

e

2,100

f

1,700