Answer:
14
Step-by-step explanation:
12:6=2
12+2=14
so her brother it's 14 years old
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
There are no real numbers that can do that job.
The numbers are
<em> 1.5 + i √7.75</em>
and
<em>1.5 - i √7.75</em>
These are called 'complex numbers'. The symbol ' i ' stands for √-1 .
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If either the ' 3 ' or the ' 10 ' was actually supposed to be negative,
then the two numbers would be<em> 2 </em> and<em> -5 .</em>
Answer:
The unknown angle would be 104 degrees
