Math Is Fun Forum

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Find Number of Right Triangles

How many right triangles have a hypotenuse that measures
2x + 3 meters and legs that measure 2x - 5 meters and x + 7 meters?
What are the dimensions of the triangle(s)?

I think a^2 + b^2 = c^2 cane be used here.

Let a = 2x - 5

Let b = x + 7

Let c = 2x + 3

Is the correct set up as shown below?

(2x - 5)^2 + (x + 7)^2 = (2x + 3)^2

Must I now solve for x?

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Find Number of Right Triangles

yes

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Find Number of Right Triangles

yes

Ok. Cool. I will work it out on paper.