Ask a New Question
Menu

Triangles Unit Test

12 of 1512 of 15 Items

Question
Use the image to answer the question.

A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 9. Data points marked are at left parenthesis 3 comma 2 right parenthesis, and left parenthesis 7 comma 8 right parenthesis. A straight line joins the two points forming a positive slope.

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.

(1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

To find the length between the two points, we can use the distance formula, which is derived from the Pythagorean Theorem.

The distance formula is: d = √((x2-x1)^2 + (y2-y1)^2)

Using the given points (3, 2) and (7, 8), we can substitute these values into the distance formula.

d = √((7-3)^2 + (8-2)^2)
= √(4^2 + 6^2)
= √(16 + 36)
= √52
≈ 7.21

Rounded to the nearest hundredth, the length between the two points is approximately 7.21.