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Find the value of x for the following

Find the value of x for the following-example-1

1 Answer

7 votes

Answer:

x = 3 units

Explanation:

This is an isosceles right-angled triangle because one of the three angles is 90° and two of the three sides are equal to eachother:

Slanted height = Hypotenuse

= hyp

=
3√(2) units

Opposite = opp

= x units

Adjacent = adj

= x units

Pythagorean Theorem will be applied:


hyp^(2) =
opp^(2) + adj^(2)


(3√(2))^(2) =
x^(2) + x^(2)


[9(2)] =
2x^(2)


18 =
2x^(2)


x^(2) =
(18)/(2)


x^(2) = 9

Taking the square root on both sides to get rid of the square:


x = √(9)

x = 3 units

User Lox
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