Question

Can someone please help me And don’t send random answers because is due tomorrow Thank You

Answer 1

First find the hypotenuse of the triangle with side lengths sqrt 2 and sqrt 2:

(sqrt2)^2 + (sqrt2)^2 = x^2

x^2 = 4

x = 2

Since x is one of the legs of the triangle with side lengths y and 1, we can use the Pythagorean Theorem again:

1^2 + 2^2 = y^2

y^2 = 5

y = sqrt5, or choice (B).

Answer 2

The right triangle with two sides of length sqrt(2) is a 45-45-90 triangle.

The hypotenuse is sqrt(2) times the length of the leg, so the hypotenuse is 2.

The hypotenuse of that triangle is a leg of the other right triangle. The second right triangle has a leg of length 2, and leg of length 1. We can use the Pythagorean theorem to find y.

y^2 = a^2 + b^2

y^2 = 1^2 + 2^2

y^2 = 1 + 4

y^2 = 5

y = sqrt(5)

Answer: y = sqrt(5)