Question

Choose the similar triangles that have a hypotenuse defined by the equation y = 2/3x.

A. green triangle
B. purple triangle
C. blue triangle
D. red triangle

Answer 1

The triangle with a hypotenuse defined by the equation y = (2/3)x is the blue triangle.

So, the correct answer is C.

Step-by-step explanation:

To find the similar triangles with a hypotenuse defined by the equation y = (2/3)x, we need to look for triangles that have a hypotenuse that follows this equation. Let's analyze the options:

A. Green triangle: We don't have enough information to determine the equation of this triangle's hypotenuse.

B. Purple triangle: The hypotenuse of this triangle is not defined by the equation y = (2/3)x.

C. Blue triangle: The hypotenuse of this triangle is defined by the equation y = (2/3)x. So, the blue triangle is similar to the given triangle.

D. Red triangle: We don't have enough information to determine the equation of this triangle's hypotenuse.

Therefore, the triangle with a hypotenuse defined by the equation y = (2/3)x is the blue triangle (option C).

So, the correct answer is C.