Question

Analyzing Ratios of Similar Right Triangles Try MZA = 30° m2 = 60° Create similar right triangles by changing the scale factor of the right triangle. When the scale factor is 1, what is the ratio of the side length of the side opposite ZA and the length of the hypotenuse? 124 Change the scale factor to 3. What is the ratio of the side length of the side opposite ZA to the length of the hypotenuse? What is the ratio of the side length of the side opposite any 30° angle and the length of the hypotenuse? С 2 1 B Scale factor n = 1 Intro Done

Answer 1

new length of opposite = 3

new length of hypotenuse = 6

ratio = 1/2

Step-by-step explanation:

Opposite = 1

hypotenuse = 2

scale factor = opposite/hypotenuse

scale factor = 1/2

when it scaled by 3

It means all the sides of the triangles would be multiplied by 3

scale factor = 3

new length of opposite = 3 × 1 = 3

new length of hypotenuse = 3 × 2 = 6

The side opposite the angle = opposite

if theta = 30 degrees

The ratio of the side opposite and the hypotenuse will be the same for any angle as long as they are corresponding sides

angle 30 = opposite/hypotenuse

Using any of the length:

angle 30 = 1/2 or 3/6

angle 30 = 1/2