Question

With this triangle find the value of x

Answer 1

Data:

Notice that we have five metric relations in the right triangle:

. b² = a*m
. a*h = b*c
. c² = a*n
. h²= m*n
. a² = b² + c²

All of them are very useful in solving problems involving rectangular triangles.

Solving: (adopting: c² = an )
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`x^(2) = (2+12)*2`

`x^(2) = 14*2`

`x^(2) = 28`

`x = √(28)`

`\boxed{\boxedx{x \approx 5.29}}\end{array}}\qquad\quad\checkmark`