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3 years ago

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 this triangle is a right triangle !

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 = 67.88 (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:

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We need a length of a height.

Use the Pythagorean theorem:

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Substitute:

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