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What are the side lengths of a triangle whose hypotenuse is 8.75 with a perimeter of 21 and an area of 18.375 square cm show workings?
Wiki User
∙ 12y ago
Presumably it's a right angle triangle so let the sides be x and y:-
x+y+8.75 = 21 => y = 21-8.75-x => y = 12.25-x
0.5*xy = 18.375 => xy = 36.75 => x(12.25-x) = 36.75 => 12.25x-x2-36.75 = 0
Solving the above quadratic equation by means of the quadratic equation formula gives x positive values of 7 and 5.25
Therefore the sides measure 7 cm and 5.25 cm
Check: 8.75+7+5.25 = 21 cm which is the perimeter of the triangle.
Wiki User
∙ 12y ago
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