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

Answer:

A. $3.2\sqrt{2}$

B. 4.53

Step-by-step 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:

$a^2+b^2=c^2,\\ \\c^2=(3.2)^2+(3.2)^2=10.24+10.24=20.48,\\ \\c=\sqrt{20.48}=3.2\sqrt{2}.$

Note that

$3.2\sqrt{2}\approx 4.53.$