Respuesta :

iGreen
We can use the Pythagorean theorem:

[tex]\sf a^2+b^2=c^2[/tex]

For right triangles, where 'a' and 'b' are the two legs and 'c' is the hypotenuse. Plug in what we know:

[tex]\sf 3.8^2+5^2=c^2[/tex]

Simplify the exponents:

[tex]\sf 14.44+25=c^2[/tex]

Add:

[tex]\sf 39.44=c^2[/tex]

Take the square root of both sides:

[tex]\sf c\approx \boxed{\sf 6.28~in}[/tex]

This is the length of the hypotenuse.

[tex]\sf A=\dfrac{1}{2}bh[/tex]

The base and the height are the two legs, plug them in:

[tex]\sf A=\dfrac{1}{2}(5)(3.8)[/tex]

Multiply:

[tex]\sf A=\boxed{\sf 9.50~in^2}[/tex]

The perimeter of any shape is the sum of all side lengths:

[tex]\sf 5+3.8+6.28=\boxed{\sf 15.08~in}[/tex]

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