Use special right triangles to solve for the value of x. 7 7 square root 2 square root 14

Answer

7

Explanation.

The triangle shown is a right triangle. One of the acute angles is given as 45°. Angles in a triangle add up to 180°

So we can get the third angle of the triangle as follows:

180 - (90+45) = 45.

From this we can conclude that, apart from the triangle being an right triangle, it is also isosceles triangle. This means that the two shorter sides of the triangle are equal.

So, the value of x is 7.

x = 7

Explanation:

1) This special right triangle is the isosceles right triangle: 45°-45°-90°.

It is an isosceles right triangle, then x = 7.

2) For these the isosceles right triangle you have: hypotenuse = leg length × √2.

You can prove that using Pythagoras: hypotenuse² = side² + side² = 2×side² ⇒ hypotenuse.

3) Therefore: x = 7 and y = 7√2

2.83941151 would be the answer you're looking for! : )

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet