Help with this I don't know how to solve please please please!!

212.5

Step-by-step explanation:

Here's a theorem about triangle areas.

If two similar triangles have sides in the ratio x:y,

then their areas are in the ratio x2:y2

The triangles have sides in the ratio:

LP/LN = 10/25

The two triangles have areas in the ratio 100:625 (4/25)

For every 4 in the small triangle, there are 25 in the larger triangle.

34/4 = 8.5

25 times 8.5 =212.5

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: