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2 answers:
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The coordinates of point E is (-2, -1.5)
<h3>How to determine the coordinates of point E?</h3>The complete question is added as an attachment
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5)
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Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle = x base x height
From the problem,
base = x height
let the base = b
height = h
b = h
h = 3b
Input into the formula of area;
24 = x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in