No soy muy buena con álgebra pero te recomiendo esta app que se llama “Symbolab” donde solo tienes que escanear la tarea y te da la respuesta.
Answer:
![\sqrt[12]{55296}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B55296%7D)
/2
Step-by-step explanation:
![\sqrt[4]{6}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B6%7D)
/![\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%7D)
=1.2422
![\sqrt[12]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B27%7D)
/2=0.66 <-- not matching with the top expression.
![\sqrt[4]{24}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B24%7D)
/2=1.11<--not matching with the top expression.
/2=1.2422<-- matches!!
![\sqrt[12]{177147}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B177147%7D)
/3=0.91<-- not matching with the top expression.
<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.
If BP= 6 cm and CP= 5 cm, we have:
BP/CP = AB/AC
We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:
1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm
2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm
Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>
