The perimeter of the right triangle which is as described by the vertices given in the task content is; 26 units.
What is the perimeter of the right triangle which is as described by the vertices?
Since the vertices of the right triangle are given as; ( -5, -2 ), ( -5, 6 ) and ( 2, -2 ).
Therefore, we have that;
Between, the vertices; ( -5, 2 ) and ( -5, -6 ), the distance is; D = | 6 - (-2) | = 8.
Also, the distance between ( -5, -2 ) and ( 2, -2 ) is; D = | -5 - 2 | = 7.
Therefore, since the length of the perpendicular sides are; 7 and 8; the length of the hypothenuse of the right triangle is;
hypothenuse = √ (8² + 7²)
hypothenuse = √ (64 + 49)
hypothenuse = √113
hypothenuse = 10.63.
Therefore, the perimeter of the right triangle is; ( 8 + 7 + 10.63) = 25.63 = 26 units when rounded to the nearest whole number.
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