Answer:
Area
square units
units
units
Step-by-step explanation:
In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.
So,
![BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units](https://tex.z-dn.net/?f=BD%5E2%3D15%5Ccdot%2010%5C%5C%20%5C%5CBD%5E2%3D150%5C%5C%20%5C%5CBD%3D%5Csqrt%7B150%7D%3D5%5Csqrt%7B6%7D%5C%20units)
a. The area of the triangle ABC is
![A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.](https://tex.z-dn.net/?f=A_%7BABC%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20BD%5Ccdot%20AC%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%205%5Csqrt%7B6%7D%5Ccdot%20%2815%2B10%29%3D%5Cdfrac%7B125%5Csqrt%7B6%7D%7D%7B2%7D%3D62.5%5Csqrt%7B6%7D%5C%20un%5E2.)
b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so
![AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units](https://tex.z-dn.net/?f=AB%5E2%3DAD%5Ccdot%20AC%3D15%5Ccdot%2025%5CRightarrow%20AB%3D5%5Csqrt%7B15%7D%5C%20units%5C%5C%20%5C%5CBC%5E2%3DCD%5Ccdot%20AC%3D10%5Ccdot%2025%5CRightarrow%20BC%3D5%5Csqrt%7B10%7D%5C%20units)
Answer:
c/e = e/d
Step-by-step explanation:
These are similar triangles. When you flip the larger one clockwise to enable you to see which sides are corresponding, then you find that:
c corresponds to e'
a corresponds to b
e corresponds to d
Therefore, c/e in the original position = e'/d in the flipped position.
<u>So c/e = e/d</u>
Answer:
0, -2 i think :p
Step-by-step explanation:
Because i say so
Answer:
1.33
Step-by-step explanation:
1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3
2/3