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natali 33 [55]
3 years ago
8

The area of a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft. is_______ a0. Type a numerical answer

in the space provided. Do not include units or use spaces in your answer.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

Area of the triangle = (1/2)*base*height

For right triangle base and height can be legs.

We have one leg = 5 ft. (Lets think it is a base.)


We need to find the other leg.

We are going to use Pythagorean theorem.

5² + b²=13²

b²=144

b=12 (It is going to be our height.)


Area of the triangle = (1/2)*5*12= 30 ft²

Area of the triangle = 30 ft²


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The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
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<span>Length = l</span>

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If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4.  If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4.  To find the base, then, which is opposite the angle, we use the sin ratio:

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