It’s the product of three and nine.
Use Pythagorean’s Theorem. a^2 + b^2=c^2.
a^2 + 35^2 = 37^2
a^2 + 1225 = 1369 then subtract 1225 from both sides.
a^2 = 144 then find the square root of both sides
a = 12
15, 20, and 25 are a Pythagorean triple, (225+40=625) thus they form a right triangle. The shortest altitude of any right triangle is going to be that of the hypotenuse. All three of the right triangles formed by the altitude on hypotenuse are similar. Thus 15:25 = a:10.
a=6.
Answer:
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