By the Pythagoras theorem, in a right triangle with the sides being a and b,
a² + b² = Hypotenuse²
Hypotenuse² = 4² + 4²
Hypotenuse² = 16 + 16 = 2*16
Hypotenuse = √2 * √16
Thus, hypotenuse = 4√2
Connect the dots to each other
Answer:
A is (0,4) and B is no solution
Step-by-step explanation:
The lines both intercept at the point (0,4) on the graph while the lines in B won't ever intercept
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
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a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
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b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
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c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
