Answer:
![\huge\boxed{x=2\sqrt{286}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bx%3D2%5Csqrt%7B286%7D%7D)
Step-by-step explanation:
Use the Pythagorean theorem:
![leg^2+leg^2=hypotenuse^2](https://tex.z-dn.net/?f=leg%5E2%2Bleg%5E2%3Dhypotenuse%5E2)
We have:
![leg=x\\leg=15\\hypotenuse=37](https://tex.z-dn.net/?f=leg%3Dx%5C%5Cleg%3D15%5C%5Chypotenuse%3D37)
Substitute and solve for x:
![x^2+15^2=37^2\\\\x^2+225=1269\qquad|\text{subtract 225 from both sides}\\\\x^2+225-225=1269-225\\\\x^2=1144\to x=\sqrt{1144}\\\\x=\sqrt{4\cdot286}\\\\x=\sqrt4\cdot\sqrt{286}\\\\x=2\sqrt{286}](https://tex.z-dn.net/?f=x%5E2%2B15%5E2%3D37%5E2%5C%5C%5C%5Cx%5E2%2B225%3D1269%5Cqquad%7C%5Ctext%7Bsubtract%20225%20from%20both%20sides%7D%5C%5C%5C%5Cx%5E2%2B225-225%3D1269-225%5C%5C%5C%5Cx%5E2%3D1144%5Cto%20x%3D%5Csqrt%7B1144%7D%5C%5C%5C%5Cx%3D%5Csqrt%7B4%5Ccdot286%7D%5C%5C%5C%5Cx%3D%5Csqrt4%5Ccdot%5Csqrt%7B286%7D%5C%5C%5C%5Cx%3D2%5Csqrt%7B286%7D)
That's is an acute angle does an acute angle have a degrees that u know of?
The number 6 could replace the gap :)
Answer:
Step-by-step explanation:
interior angle is the angles inside the triangle exterior angle is the angle on a straight line of a triangle