# Find the values of the variables in each right triangle. 01510201141.png

Find the values of the variables in each right triangle.
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Clelioo
Apply Pythagoras theorem, to find the lengths of x and y.
Pythagoras Theorem states that in a right-angled triangle sum of squares of perpendicular adjacent sides of a triangle is equal to the square of the third side of the triangle.
In the smaller right-angled triangle:
${x}^{2}+{\left(3.6\right)}^{2}={6}^{2}$
${x}^{2}=36-12.96$
${x}^{2}=23.04$
$x=4.8$
In the larger right-angled triangle:
${y}^{2}+{6}^{2}={\left(6.4+3.6\right)}^{2}$
${y}^{2}+{6}^{2}={10}^{2}$
${y}^{2}=100-36$
${y}^{2}=64$
$y=8$
Thus, the values of x and y are 4.8 and 8 respectively.