how is building a triangle with different side lengths given different than building a quadrilateral with given side lengths?

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

Answer:

there can only be one possibility for a triangle when given the lengths of all the sides but for a quadrilateral the measure of the angles could differ depending on the person building the,. this is because triangles are more stable than quadrilaterals meaning that their side lengths follow a lot more rules than quadrilaterals do, for example the length of the side lengths can indicate whether or not that triangle is an acute, obtuse, or right triangle, and this is also evident by considering that you can use the SSS theorem to indicate two triangles are congruent, but for quadrilaterals you cant do that

Step-by-step explanation:

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What is the area of this figure?

Vladimir79 [104]

Answer:

<em>97 square miles</em>

Step-by-step explanation:

Let us divide this figure into rectangles, each of set dimensions;

$Dimensions of Rectangle A - Height ; 2 mi, Length ; 9 mi\\Area of Rectangle A - Height * Length = 2 mi * 9 mi = 18 square miles,\\\\Dimensions of Rectangle B - Height ; 2 mi + 5 mi = 7 mi, Length ; 5 mi\\Area of Rectangle B - Height * Length = 7 mi * 5 mi = 35 square miles,\\\\Dimensions of Rectangle C - Height ; 4 mi + 5 mi + 2 mi = 11 mi, Length ; 4 mi,\\Area of Rectangle C - Height * Length = 11 mi * 4 mi = 44 square miles,\\\\Area of Figure = 18 + 35 + 44 = 97 square miles$