Find the values of the variables in each right triangle.

zi2lalZ
2021-03-09
Answered

Find the values of the variables in each right triangle.

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Clelioo

Answered 2021-03-10
Author has **88** answers

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:

$y}^{2}+{6}^{2}={(6.4+3.6)}^{2$

$y}^{2}+{6}^{2}={10}^{2$

${y}^{2}=100-36$

${y}^{2}=64$

$y=8$

Thus, the values of x and y are 4.8 and 8 respectively.

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:

In the larger right-angled triangle:

Thus, the values of x and y are 4.8 and 8 respectively.

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A .$\mathrm{tan}\left(\mathrm{arcsin}\left(\frac{x}{8}\right)\right)$

B .$\mathrm{cos}\left(ar\mathrm{sin}\left(\frac{x}{8}\right)\right)$

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D.$\mathrm{sin}\left(\mathrm{arctan}\left(\frac{x}{8}\right)\right)$

E.$\mathrm{cos}\left(\mathrm{arctan}\left(\frac{x}{8}\right)\right)$

A .

B .

C.

D.

E.

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