This math topic centers on applying the Pythagorean theorem, specifically solving for the missing side of a right triangle when the other sides' values are given as integers. Various problems involve substituting squared values into the Pythagorean equation to find the unknown side, labeled either 'a' or 'b'. In each equation, students are presented with several possible integer solutions to select from, testing their ability to rearrange and solve quadratic equations correctly. This set of problems helps reinforce foundational geometry and algebra skills associated with Pythagoras' theorem.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
morePythagorean Equation from Values - Length of Side (Integer) Worksheet
| Math worksheet on 'Pythagorean Equation from Values - Length of Side (Integer) (Level 2)'. Part of a broader unit on 'Pythagoras - Foundations' Learn online: app.mobius.academy/math/units/pythagoras_foundations/ |
1
| Find the value of 'a' in this equation |
a
| a = 12 |
b
| a = 320 |
c
| a = 11 |
d
| a = 15 |
e
| a = 10 |
f
| a = 6 |
2
| Find the value of 'b' in this equation |
a
| b = 7 |
b
| b = 4 |
c
| b = 80 |
d
| b = 6 |
e
| b = 10 |
f
| b = 8 |
3
| Find the value of 'b' in this equation |
a
| b = 10 |
b
| b = 14 |
c
| b = 7 |
d
| b = 36 |
e
| b = 12 |
f
| b = 20 |
4
| Find the value of 'a' in this equation |
a
| a = 2 |
b
| a = 7 |
c
| a = 4 |
d
| a = 3 |
e
| a = 13 |
f
| a = 5 |
5
| Find the value of 'b' in this equation |
a
| b = 11 |
b
| b = 17 |
c
| b = 240 |
d
| b = 8 |
e
| b = 18 |
f
| b = 16 |
6
| Find the value of 'a' in this equation |
a
| a = 13 |
b
| a = 17 |
c
| a = 12 |
d
| a = 7 |
e
| a = 14 |
f
| a = 10 |
7
| Find the value of 'a' in this equation |
a
| a = 10 |
b
| a = 16 |
c
| a = 11 |
d
| a = 9 |
e
| a = 8 |
f
| a = 6 |