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Alex Ar [27]
3 years ago
12

What is the length of the the midsegment of a trapezoid with bases of length 14 and 24​?

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0

Step-by-step explanation:

Length \: of \: midsegment \\  =  \frac{1}{2}  \times sum \: of \: lengths \: of \: bases \\  \\  = \frac{1}{2}  \times(14 + 24) \\  \\  = \frac{1}{2}  \times38 \\  \\  = 19  \: units

lesya [120]3 years ago
5 0

Answer:19

Step-by-step explanation:The midsegment of a trapezoid connects the midpoints of the two congruent sides of the trapezoid, and is parallel to the pair of parallel sides.Therefore , to find the length of the midsegment , all we need do is to add the two bases together and divide by two , that is :

Length of mid segment = \frac{14+24}{2}

Length of mid segment = \frac{38}{2}

Length of mid segment = 19

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A circle with a 12 inch diameter is folded in half and then folded in on half again. what is the area of the resulting shape
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1.628 &gt; 1.63<br><br><br>I don’t understand math I’m sorry-
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So that's actually not true. When comparing decimals you should compare each digit. Remember adding a 0 at the end does not change the value of the decimal. So lets look at it up and down:

remember line up the decimal to decimal

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lisov135 [29]

Step-by-step explanation:

(You might need to draw the triangle on a piece of paper to follow)

First I tried to find the height in terms of<em> a</em>.  

If you draw the height in, the triangle is cut in half. That half triangle is a right triangle.  

Using the Pythagoras theorem you can find out the height. Since you know that the hypotenuse is also <em>a </em>(because it's an equilateral triangle) the equation would be:

(a/2)² + h² = a²

Assuming that h = height

(It's a/2 because when you cut the triangle in half, the base of the right triangle became a/2)

This equation is simplified:

a²/4 + h² = a²

a² + 4h = 4a²

4h = 3a²

h² = 3a²/4

Now, remeber that everything is squared so it should be

h = a√3/2

Now we have the height. To get the area we need to multiply it by the base, which is <em>a, </em>and then divide it by 2<em>.</em>

a√3/2 × a ÷ 2

a²√3/2 ÷ 2

a²√3/4

And there you go. Thats the area.

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