Answer:
4 units
Step-by-step explanation:
Angle bisector property says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
By angle bisector property,
![\dfrac{EK}{KF}=\dfrac{DE}{DF}\\ \\\dfrac{2}{5}=\dfrac{DE}{10}\\ \\DE=\dfrac{2\cdot 10}{5}=4\ units](https://tex.z-dn.net/?f=%5Cdfrac%7BEK%7D%7BKF%7D%3D%5Cdfrac%7BDE%7D%7BDF%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B5%7D%3D%5Cdfrac%7BDE%7D%7B10%7D%5C%5C%20%5C%5CDE%3D%5Cdfrac%7B2%5Ccdot%2010%7D%7B5%7D%3D4%5C%20units)
Tan =perpendicular/ base
= 4/7
We will determine the length of the segment DF as follows:
*We have that the triangles are similar, and therefore the following is true:
![\frac{2}{1.34}=\frac{4}{DF}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1.34%7D%3D%5Cfrac%7B4%7D%7BDF%7D)
Now, we solve for DF:
![\Rightarrow DF=\frac{1.34\cdot4}{2}\Rightarrow DF=2.68](https://tex.z-dn.net/?f=%5CRightarrow%20DF%3D%5Cfrac%7B1.34%5Ccdot4%7D%7B2%7D%5CRightarrow%20DF%3D2.68)
From this, we have that the length of the segment DF equals 2.68 units.
Answer:
immma send you the link friend me on hereStep-by-step explanation:
Answer:
A
Step-by-step explanation:
So, we are given a right triangle and we know that 2x+4 is the length of the hypotenuse and 8 is the length of one of the sides.
Remember that the hypotenuse in a right triangle will always <em>always</em> be the longest side. Therefore, we can write the following inequality:
![2x+4>8\\2x>4\\x>2](https://tex.z-dn.net/?f=2x%2B4%3E8%5C%5C2x%3E4%5C%5Cx%3E2)
The answer is A.