Math Problem Statement
Find the other side of a rectangular field if one side measures 15 m and a diagonal as 17 m
Solution
To find the other side of the rectangular field, we can use the Pythagorean theorem, which states that in a right-angled triangle:
Given:
- One side of the rectangle (Side 1) = 15 m
- Diagonal = 17 m
Let the unknown side be (Side 2).
By the Pythagorean theorem:
Now, solve for :
Take the square root of both sides:
So, the other side of the rectangular field is 8 meters.
Would you like more details or have any questions?
Here are some related questions for further practice:
- What is the area of this rectangular field?
- What is the perimeter of the rectangular field?
- How would the result change if the diagonal was 20 m instead of 17 m?
- How can the Pythagorean theorem be applied to non-rectangular shapes?
- Can you derive the length of the diagonal if both sides of a rectangle are known?
Tip: Always check that the largest value in a right triangle is used for the diagonal when applying the Pythagorean theorem.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right-Angle Triangle
Pythagorean Theorem
Formulas
Pythagorean Theorem: a^2 + b^2 = c^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 6-8
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