A triangle whose base measures 2.4 inches has an area of 3.6 square inches. What is its height?

Answer 1

See a solution process below:

The formula for the area of a triangle is:

#A = (h_b b)/2#

Where:

#A# is the area of the triangle.
#h_b# is the height of the triangle from the base
#b# is the length of the base of the triangle.
Substituting the information in the problem and solving for #h_b# gives:
#3.6"in"^2 = (h_b 2.4"in")/2#
#color(red)(2) xx 3.6"in"^2 = color(red)(2) xx (h_b 2.4"in")/2#
#7.2"in"^2 = cancel(color(red)(2)) xx (h_b 2.4"in")/color(red)(cancel(color(black)(2)))#
#7.2"in"^2 = h_b 2.4"in"#
#(7.2"in"^2)/color(red)(2.4"in") = (h_b 2.4"in")/color(red)(2.4"in")#
#(7.2"in"^color(red)(cancel(color(black)(2))))/color(red)(2.4color(black)(cancel(color(red)("in")))) = (h_b color(red)(cancel(color(black)(2.4"in"))))/cancel(color(red)(2.4"in"))#
#(7.2"in")/color(red)(2.4) = h_b#
#3"in" = h_b#
#h_b = 3"in"#
The height of the triangle in the problem is #3# inches
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Answer 2

To find the height ( h ) of the triangle, you can use the formula for the area of a triangle:

[ A = \frac{1}{2} \times \text{base} \times \text{height} ]

Given that the base measures 2.4 inches and the area is 3.6 square inches, you can rearrange the formula to solve for the height:

[ h = \frac{2 \times A}{\text{base}} ]

Plugging in the given values:

[ h = \frac{2 \times 3.6}{2.4} ]

[ h = \frac{7.2}{2.4} ]

[ h = 3 \text{ inches} ]

So, the height of the triangle is 3 inches.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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