Answer:
k
Step-by-step explanation:
i think it's 75
Answer:
[see below]
Step-by-step explanation:
Use the Pythagorean Theorem.

'c' will be the hypotenuse.
The hypotenuse is 15 cm. One of the legs is 5 cm.

14.1421356237 ≈ 14.1
The other leg should be about 14.1 cm.
Hope this helps.
The first y equals -3 and the second y equals -9
Since the tangent of B is 4/3, then:

On the other hand, since ABC is a right triangle with hypotenuse BC, then:

Substitute AC=3/4 BA and BC=15 to find BA:
![\begin{gathered} (BA)^2+(\frac{4}{3}BA)^2=15^2 \\ \Rightarrow BA^2+\frac{16}{9}BA^2=15^2 \\ \Rightarrow(1+\frac{16}{9})BA^2=15^2 \\ \Rightarrow\frac{25}{9}BA^2=15^2 \\ \Rightarrow BA^2=\frac{9}{25}\cdot15^2 \\ \Rightarrow BA=\sqrt[]{(\frac{9}{25}\cdot15^2)} \\ \Rightarrow BA=\frac{3}{5}\cdot15 \\ \Rightarrow BA=9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28BA%29%5E2%2B%28%5Cfrac%7B4%7D%7B3%7DBA%29%5E2%3D15%5E2%20%5C%5C%20%5CRightarrow%20BA%5E2%2B%5Cfrac%7B16%7D%7B9%7DBA%5E2%3D15%5E2%20%5C%5C%20%5CRightarrow%281%2B%5Cfrac%7B16%7D%7B9%7D%29BA%5E2%3D15%5E2%20%5C%5C%20%5CRightarrow%5Cfrac%7B25%7D%7B9%7DBA%5E2%3D15%5E2%20%5C%5C%20%5CRightarrow%20BA%5E2%3D%5Cfrac%7B9%7D%7B25%7D%5Ccdot15%5E2%20%5C%5C%20%5CRightarrow%20BA%3D%5Csqrt%5B%5D%7B%28%5Cfrac%7B9%7D%7B25%7D%5Ccdot15%5E2%29%7D%20%5C%5C%20%5CRightarrow%20BA%3D%5Cfrac%7B3%7D%7B5%7D%5Ccdot15%20%5C%5C%20%5CRightarrow%20BA%3D9%20%5Cend%7Bgathered%7D)
Substitute BA=12 into the expression for AC to find its value:

On the other hand, we know that:

Substitute BA=12 and DA=3 to find BD:

Finally, since BDE and BAC are similar triangles, we know that:

Substitute AC=12, BA=9 and BD=6 to find the length DE:

Therefore, the length of DE is: