Question

Please help!! Xoxo! Appreciate it :)

Answer 1

B

Explanation

To find the value of x, you need to use the Pythagorean theorem.

`x^(2) + y^(2) = z^(2)`

x is one of the legs.

y is another one of the legs.

z is the hypotenuse (the longest side of a right triangle).

Now for this we can set 5 to be x and 4 to be y.

y is 4 because 4 is half of 8. We need to find half of 8 because the right triangle is half of the whole triangle.

Now 'plug' these into the formula and find z.

`5^(2) + 4^(2) = 41^(2)`

To find z then we must find the square root of 41.

So the answer is B.

(Now I just realized that I used the variable z for the hypotenuse when you were supposed to be finding x for the hypotenuse but whatever).

Answer 2

B x = sqrt(41)

Explanation:

Since the large triangle is isosceles, the smaller triangles on the right side and left side are congruent right triangles.

The base of each smaller right triangle is 4 units long (8/2 = 4).

The vertical leg is 5.

Use the Pythagorean theorem to find x.

a^2 + b^2 = c^2

4^2 + 5^2 = x^2

16 + 25 = x^2

x^2 = 41

x = sqrt(41)

Answer: B x = sqrt(41)