ANSWER FAST PLZZZ Which polygons are congruent? Select each correct answer. Two right scalene triangles labeled D E F and P Q R.
Corresponding sides and vertices contain one, two, and three tick marks, respectively. Angles E and Q are right angles. Two triangles labeled T U V and W X Y. Side T U is labeled three, side U V is labeled six and five-tenths, and side V T is labeled seven. Side W X is labeled three, side X Y is labeled six and five-tenths, and side Y W is labeled seven. Corresponding vertices contain one, two, and three tick marks, respectively. Two triangles labeled A B C and F G H. Angles A and F are labeled eighty-three degrees. Angle B is labeled forty-eight degrees, angle C is labeled forty-nine degrees, angle G is labeled forty-five degrees, and angle H is labeled fifty-two degrees. Sides B C and G H each contain one tick mark. two right triangles. one with legs 4 and 7 units. the other one with legs 5 and 8 units.
2 answers:
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Answer:
The perimeter of the triangle is approximately equal to 18
Step-by-step explanation:
The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)
The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;
The lengths of the segments that make up the triangle are therefore;
Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41
Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73
Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10
Therefore;
The perimeter of the triangle = The sum of the lengths of the sides of the triangle = √41 + √73 + √10
The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094
∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.