3 years ago

Find the length of side c of a triangle if side a = 15 and side b = 20. A. 25 B. 17.5 C. 20 D. 15

1 answer:

4 0

If one side of a triangle is 15 and another side is 20, then the third side
can be any length between 5 and 35. There are an infinite number of
possible triangles.

IF it happens to be a RIGHT triangle AND side 'a' and side 'b' happen
to be its legs, then the length of the third side is 25. But you didn't
mention any of those details.

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2 years ago

X² + y² = 8

ohaa [14]

Answer:

$(2,2)~ \text{and}~ (-2,-2)$

Step by step explanation:

$x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\$