Math Problem Statement
Solution
To calculate the length of using Pythagoras' theorem:
In the right-angled triangle :
- (one side),
- (the hypotenuse),
- is the unknown side.
Step-by-Step Solution:
Pythagoras' theorem states:
Rearranging to find the unknown side :
Substitute the values:
Simplify:
Take the square root:
Using a calculator:
Final Answer:
The length of is 14.4 cm.
Would you like a breakdown of the steps or further clarification? Let me know!
Related Questions:
- How do you use Pythagoras' theorem in other right-angled triangles?
- What are the conditions for using Pythagoras' theorem?
- Can Pythagoras' theorem be applied in 3D shapes?
- How do you determine the hypotenuse of a triangle?
- What happens when the sides of a triangle do not satisfy Pythagoras' theorem?
Tip:
When solving for a missing side in a right triangle, always check that you correctly identify the hypotenuse (the longest side).
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Math Problem Analysis
Mathematical Concepts
Geometry
Right-Angled Triangles
Pythagoras' Theorem
Formulas
c^2 = a^2 + b^2
Theorems
Pythagoras' Theorem
Suitable Grade Level
Grades 7-9
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