Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 7 + 4 + 8 + 5
p = 24

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 5² + 3²
c² = 25 + 9
c² = 34
c = \( \sqrt{34} \)

The formula for area is πr². Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr²
a = π(4²)
a = 16π

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 65° - 49° = 66°

So, d° = 49° + 66° = 115°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 65° = 115°

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.