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scoundrel [369]
3 years ago
13

If the height of a triangle is five inches less than the length of its base, and if the area of the triangle is 52 square inches

, find the base and the height.
Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

Base = 10.4 inches

Height = 5.4 inches

Step-by-step explanation:

Let the length of the base = x

The height of the triangle = x - 5

Area of the triangle = 52

;Area of a triangle = 1/2 × base × height

; 52 = [x(x - 5)]/2

; 104 = x^2 - 5

;Where x = square root of (104 + 5)

; x = 10.4

;The base(x) = 10.4 in

;The height (x - 5) = 10.4 - 5

= 5.4 in

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kow [346]

Using the mid-point concept, it is found that point B is located at coordinates (-6.5, 0).

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

The center is the midpoint of the two coordinates of the diameter, hence:

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For the x-coordinate:

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2 years ago
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solmaris [256]

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Step-by-step explanation:

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2 years ago
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padilas [110]

Answer:

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Plug the points into the equation to see if they make sense

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2 years ago
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