This math topic focuses on using the Pythagorean theorem to find missing side lengths of right triangles, represented in decimal values. Students are required to approximate the values of either side 'a' or side 'b' in various Pythagorean equation setups, improving their skills in solving quadratic equations and applying foundational geometry concepts related to triangles. Various degrees of complexity across different equations are presented, requiring calculations with squares and square roots. This is part of a broader unit on the foundations of Pythagoras' theorem.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
morePythagorean Equation from Squares - Length of Side (Decimal) Worksheet
| Math worksheet on 'Pythagorean Equation from Squares - Length of Side (Decimal) (Level 1)'. Part of a broader unit on 'Pythagorean Theorem with Decimals - Intro' Learn online: app.mobius.academy/math/units/pythagoras_decimals_foundations/ |
1
| Approximate the value of 'b' in this equation |
a
| b = 20 |
b
| b = 3 |
c
| b = 7 |
d
| b = 3.9 |
e
| b = 1 |
f
| b = 1.8 |
2
| Approximate the value of 'a' in this equation |
a
| a = 3.7 |
b
| a = 5.8 |
c
| a = 4.7 |
d
| a = 5.7 |
e
| a = 1 |
f
| a = 2.8 |
3
| Approximate the value of 'b' in this equation |
a
| b = 2.4 |
b
| b = 3.7 |
c
| b = 3.6 |
d
| b = 7 |
e
| b = 2.6 |
f
| b = 1.3 |
4
| Approximate the value of 'b' in this equation |
a
| b = 5.3 |
b
| b = 4.3 |
c
| b = 5.7 |
d
| b = 1.3 |
e
| b = 6.3 |
f
| b = 10.3 |
5
| Approximate the value of 'a' in this equation |
a
| a = 5.2 |
b
| a = 4 |
c
| a = 2 |
d
| a = 8 |
e
| a = 2.8 |
f
| a = 1 |
6
| Approximate the value of 'b' in this equation |
a
| b = 4.6 |
b
| b = 2.7 |
c
| b = 4.8 |
d
| b = 6 |
e
| b = 10 |
f
| b = 4.1 |
7
| Approximate the value of 'b' in this equation |
a
| b = 1 |
b
| b = 1.6 |
c
| b = 5.2 |
d
| b = 2.2 |
e
| b = 2.5 |
f
| b = 5 |