Traditional Culture Encyclopedia - Photography major - In Rt triangle ABC, angle C is equal to 90°, CD is the height of the hypotenuse, AC=m, AB=n. What is the ratio of the area of ??triangle ACD to the area of ??triangle BCD.

The answer is c

In Rt triangle ABC, angle C is equal to 90°, CD is the height of the hypotenuse, AC=m, AB=n. What is the ratio of the area of ??triangle ACD to the area of ??triangle BCD.

The answer is c

In Rt triangle ABC, angle C is equal to 90°, CD is the height of the hypotenuse, AC=m, AB=n. What is the ratio of the area of ??triangle ACD to the area of ??triangle BCD.

The answer is c

Use the photography theorem~ (If you don’t know the photography theorem, you can check it online, or use similar triangles to prove it yourself, it’s very simple)

AC^2=AD*AB ==>AD=(m^2)/n

DB=AB-AD=n-(m^2)/n

Two Triangles all have CD as the base and AD and DB as the height, so the ratio of the areas is the ratio of AD and DB

So it is C