Mathematics: Write the equation for the Pythagorean Theorem and indicate which letter is the hypotenuse. ill mark you brailiest.

Write the equation for the Pythagorean Theorem - id10143221, teresagonzalez6652

khan2491

01.06.2023

C.240 mi

Step-by-step explanation:

In the given picture, Let ABC be the bigger triangle and BDC be the smaller triangle.

Then, In ΔABC and ΔBDC

∠C=∠C

∠D=∠B =90°

Therefore, ΔABC ≈ ΔBDC [By AA similarity rule]

We know that the sides of similar triangles are proportional, then

$\frac{AB}{BD}=\frac{AC}{BC}\\\\\Rightarrow\ \frac{400}{x}=\frac{500}{300}\\\\\Rightarrow\ x=\frac{3\times400}{5}\\\\\Rightarrow\ x=240\ mi$

Hence, The length of new road = 240 mi

0,0(0 оценок)