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Sachin Sawant · Answer 1 · 2019-12-25T04:37:18+0000

We can use the Pythagorean theorem:

$\sf a^2+b^2=c^2$

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

$\sf 3.8^2+5^2=c^2$

Simplify the exponents:

$\sf 14.44+25=c^2$

Add:

$\sf 39.44=c^2$

Take the square root of both sides:

$\sf c\approx \boxed{\sf 6.28~in}$

This is the length of the hypotenuse.

$\sf A=(1)/(2)bh$

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

$\sf A=(1)/(2)(5)(3.8)$

Multiply:

$\sf A=\boxed{\sf 9.50~in^2}$

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

$\sf 5+3.8+6.28=\boxed{\sf 15.08~in}$

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