Question

3. Consider the right triangle below in which a = 3.2 and b = 3.2.

A. What is the value of c written in simplified radical from?

B. What is the value of c rounded to the nearest hundredth?

Answer 1

A.
`3.2√(2)`

B. 4.53

Explanation:

A and b are legs of the right triangle, c is the hypotenuse of this triangle. Use the Pythagorean theorem for the triangle with sides a, b and c:

`a^2+b^2=c^2,\\ \\c^2=(3.2)^2+(3.2)^2=10.24+10.24=20.48,\\ \\c=√(20.48)=3.2√(2).`

Note that

`3.2√(2)\approx 4.53.`