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3 years ago

6

Determine the missing side length:

1 answer:

ludmilkaskok [199]3 years ago

3 0

The answer is: "3" .
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Use the Pythagorean theorem (for right triangles):

a² + b² = c² ;

in which "a = "side length 1" (unknown; for which we which to solve);

"b" = "side length 2" = "√3" (given in the figure) ;

"c" = "length of hypotenuse" = "2√3" (given in the figure);
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a² + b² = c² ;

a² = c² − b² ;

Plug in the known values for "c" and "b" ;

a² = (2√3)² − (√3)² ;

Simplify:

(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3) = 4 * 3 = 12 .

(√3)² = (√3√3) = 3 .

a² = 12 − 3 = 9 .

a² = 9

Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation; & to solve for "a" ;

+√(a²) = +√9 ;

a = 3 .
____________________________________
The answer is: "3" .
____________________________________

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