Asked by Cons
BAC=90 degrees. The length of the three sides are x cm, (x+7) cm, and (x+8) cm.
a. Write down and simplify a quadratic equation in x which links the three sides of the triangle.
b. Solve the quadratic equation found in (a)
c. Write the value of the perimeter of the triangle.
a. Write down and simplify a quadratic equation in x which links the three sides of the triangle.
b. Solve the quadratic equation found in (a)
c. Write the value of the perimeter of the triangle.
Answers
Answered by
R_scott
a. x^2 + (x + 7)^2 = (x + 8)^2 ... 2 x^2 + 14 x + 49 = x^2 + 16 x + 64
b. x^2 - 2x - 15 = 0 ... (x - 5) (x + 3) = 0 ... x = 5 , x = -3
... the negative result is not realistic
c. a 5-12-13 Pythagorean triple ... perimeter = 30
b. x^2 - 2x - 15 = 0 ... (x - 5) (x + 3) = 0 ... x = 5 , x = -3
... the negative result is not realistic
c. a 5-12-13 Pythagorean triple ... perimeter = 30
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