Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
A) 8.4 square units
B) 20.5 square units
C) 41 square units
D) 60.5 square units

Step-by-step explanation:

Area of a triangle = 1/2 * Base * Height

For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.

Using the formula for finding the distance between two points to get the base and the height of the triangle.

D = √(x2-x1)²+(y2-y1)²

For side AB where A = (-3, -4) and B(2, 0)

AB = √(2-(-3))²+(0-(-4))²

AB = √5²+4²

AB = √25+16

AB = √41

AB = Height

For side BC where B = (2, 0) and C = (6, -5)

√(x2-x1)²+(y2-y1)²

BC = √6-2)²+(-5-0)²

BC= √4²+(-5)²

BC = √16+25

BC= √41

BC = base of the triangle

Area of the triangle = 1/2 * √41 * √41

Area of the triangle = 1/2 * 41

Area of the triangle =20.5square units

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights