Purchase Solution

Pythagorean Triangles

Not what you're looking for?

Ask Custom Question

I need help with this problem. Here it is:

Bhascara found a right triangle whose area is numerically equal to the length of its hypotenuse. Show that this cannot happen if the triangle has integer sides.

Please be detailed as possible. I appreciate your help.

Purchase this Solution
Solution Summary

This posting contains the detailed solution to the given problem.

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Triangles and Squares

    So Pythagorean Theorem works for only right triangles. The expert draws several kinds of triangles including a right triangle. A complete, neat and step-by-step solution is provided in the attached file.

  • Pythagorean Triangles

    263717 Pythagorean Triangles Areas 1. Find two pythagorean triangles with the same area. Can you find any more with the same area? 2. Prove that two Pythagorean triangles with the same area and equal hypotenuses are congruent. 1.

  • Pythagorean triangles

    How many Pythagorean triangles (primitive or not) can you find with hypotenuse 1105?

  • The Pythagorean Theorem and Similar Triangles

    The pythagorean theorem and similar triangles are investigated and the details are provided in the solution. The solution is well presented.

  • RHS Theorem (Right-angle-Hypotenuse-Side)

    263989 RHS Theorem (Right-angle-Hypotenuse-Side) Please help me with the following problem: a) Prove that two Pythagorean Triangles with the same area and equal hypotenuses are congruent. b) Find two Pythagorean triangls with the same area.

  • Heron's formula and Pythagoras

    Each of the four triangles are combined to form a side of a + b and a hole with the side c. We can therefore compute the area of the inner square in two ways.

  • Proving the Pythagorean Theorem

    171157 Pythagorean Theorem There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class.

  • Right Triangles

    70271 Right Triangles A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90° angle).

  • Uses of the Pythagorean Theorem

    Example #3—Architecture Roofs, when viewed from one side of the building, are often sloped down from the top, forming two right-angled triangles. An Architect uses the Pythagorean theorem when computing the measurements for a roof.

  • Pythagorean Theorem Proofs

    Proof: By construction, the triangles ACB, BDE, EFG and GHA are congruent and therefore have the same area.

View More Related Solutions