Question

Triangles Unit Test
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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)

Answer 1

To find the length between the two points (3, 2) and (7, 8), we can use the distance formula, which is based on the Pythagorean theorem.

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

Using the coordinates of the two points:
x1 = 3, y1 = 2
x2 = 7, y2 = 8

Substituting these values into the distance formula:
Distance = √((7 - 3)^2 + (8 - 2)^2)
= √(4^2 + 6^2)
= √(16 + 36)
= √52

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