Answer:
![x=\frac{\sqrt{14} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Csqrt%7B14%7D%20%7D%7B2%7D)
Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:
![(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B7%7D%29%5E2%3Dx%5E2%2Bx%5E2%5C%5C7%3D2%5C%2Cx%5E2%5C%5Cx%5E2%3D%5Cfrac%7B7%7D%7B2%7D%20%5C%5Cx%3D%2B%2F-%5Csqrt%7B%5Cfrac%7B7%7D%7B2%7D%7D%20%5C%5Cx%3D%2B%2F-%5Cfrac%7B%5Csqrt%7B14%7D%20%7D%7B2%7D)
We use just the positive root, since we are looking for an actual length. then, the requested side is:
![x=\frac{\sqrt{14} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Csqrt%7B14%7D%20%7D%7B2%7D)
Step-by-step explanation:
try surfing how to divide a function by the long division method
Answer:
The common factors of 45 and 72 are 9, 3, 1
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
Given,
θ = 45
Opposite side = 6
To find : - Hypotenuse
Formula : -
sin θ = Opposite side / Hypotenuse
[ The value of sin 45 = 1 / √2 ]
sin 45 = 6 / Hypotenuse
1 / √2 = 6 / Hypotenuse
Cross multiply,
Hypotenuse = 6√2
hey, I'm not sure about this answer, but I think it's true, sorry
m(2g+5mk)