Question

Find the value of y.

Answer 1

`y=2√(2)`

`y\approx 2.82843`

Explanation:

The given triangle is a right triangle, this is indicated by the box around one of the angles in the triangle. The Pythagorean theorem is a property that applies to right triangles, this property comes in the form of an equation, which can be simply put as the following:

`a^2+b^2=c^2`

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle of the right triangle. The parameter (c) indicates the hypotenuse or the side opposite the legs of the right triangle.

Look at the smallest triangle in the entire image. Using the Pythagorean theorem, one can form an equation and solve for the unknown parameter, (y).

`a^2+b^2=c^2`

Substitute,

`(1)^2+(y)^2=(3)^2`

Simplify,

`(1)^2+(y)^2=(3)^2`

`1+y^2=9`

`y^2=8`

`y=√(8)`

`y=2√(2)`

`y\approx 2.82843`

Answer 2

y = √(1×8) = 2√2

z = √(8×9) = 6√2

Answered by GAUTHMATH