Find XY when X(-7, 10) and Y(3, 4).
1 answer:
The length of XY, using the distance formula, is approximately: 11.7 units.
<h3>How to Apply the distance Formula to Find the Length of a Segment?</h3>The distance formula given to find the distance between two points or the length of a segment, is given as: .
We are given the coordinates of the endpoints of the line segment as follows:
X(-7, 10) and Y(3, 4).
Let (x1, y1) represent X(-7, 10)
Let (x2, y2) represent Y(3, 4)
Plug in the values of the coordinates of the endpoints into the distance formula:
XY = √[(3−(−7))² + (4−10)²]
XY = √[(10)² + (−6)²]
XY = √(100 + 36)
XY = √136
XY ≈ 11.7 units
Thus, the length of XY, using the distance formula, is approximately calculated as: 11.7 units.
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The area of the triangle XYZ is 29.1 square units
Explanation:
Given that the measurements of the sides of the triangle XYZ are ,
and
We need to determine the area of the triangle XYZ
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
Substituting the values, we get,
Simplifying, we get,
Multiplying the terms, we get,
Dividing the terms, we have,
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle XYZ is 29.1 square units.