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The problem asks for the length of the dotted line in the diagram, rounded to the nearest tenth. The...

Pythagorean TheoremRight TrianglesSquare RootsApproximation
2025/3/12

We are asked to find the value of $x$ in the given figure. The figure shows two right triangles shar...

Pythagorean TheoremRight TrianglesRadicalsTriangle Geometry
2025/3/12

The problem asks us to find the length of the third side (hypotenuse) of a right triangle, given the...

Pythagorean TheoremRight TrianglesRadicalsSimplifying Radicals
2025/3/12

We are given a right triangle with one side length 6 and the hypotenuse $2\sqrt{13}$. We need to fin...

Pythagorean TheoremRight TrianglesSide LengthsAlgebra
2025/3/12

The problem asks us to find the length of the third side (hypotenuse) of a right triangle with two s...

Pythagorean TheoremRight TriangleSimplifying Radicals
2025/3/12

We are given a right triangle with one leg of length 5 and the hypotenuse of length $5\sqrt{5}$. We ...

Pythagorean TheoremRight TriangleTriangleLength Calculation
2025/3/12

The problem asks to find the straight-line distance from the starting point after driving 18 miles e...

Pythagorean TheoremDistance FormulaWord ProblemRight TrianglesApproximation
2025/3/12

A 45-foot ladder is initially placed against a house, reaching 27 feet up the wall. The base of the ...

Pythagorean TheoremRight TrianglesWord ProblemApplications of Geometry
2025/3/12

A 45 foot ladder is placed against a house, reaching 27 feet up the wall. The ladder is then pulled ...

Pythagorean TheoremRight TrianglesWord ProblemApplications
2025/3/12

The problem involves vector algebra and geometry. It includes finding magnitudes of vectors, dot pr...

VectorsDot ProductMagnitudeScalar ComponentAngle between vectorsVector Algebra
2025/3/12