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mestny [16]
3 years ago
12

What is the length of the longer side in this triangle

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Did you notice the little box with corners marked in the angle down at the bottom ?
That angle is a right angle, and <em>this triangle is a right triangle</em> !

This piece of information is a big help.  It breaks the problem wide open.
You know that in order to find the longest side of a right triangle . . .

-- Square the length of one short side.
-- Square the length of the other short side.
-- Add the two squares together.
-- Take the square root of the sum.

One short side=48.           Its square = 2,304.
The other short side=48.  Its square = 2,304.
Add the two squares:        2,304 + 2,304 = 4,608

The square root of the sum = √4,608 = <em><u>67.88</u></em> (rounded)


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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

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We have:

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Substitute:

5^2+h^2=20^2

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Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

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