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

zi2lalZ

zi2lalZ

Answered question

2021-03-09

Find the values of the variables in each right triangle.

Answer & Explanation

Clelioo

Clelioo

Skilled2021-03-10Added 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:
x2+(3.6)2=62
x2=3612.96
x2=23.04
x=4.8
In the larger right-angled triangle:
y2+62=(6.4+3.6)2
y2+62=102
y2=10036
y2=64
y=8
Thus, the values of x and y are 4.8 and 8 respectively.

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