If the hypotenuse BC of the right triangle ABC is 1 and the circle O is the inscribed circle of the triangle ABC, then the maximum radius of the circle O is 0

If the hypotenuse BC of the right triangle ABC is 1 and the circle O is the inscribed circle of the triangle ABC, then the maximum radius of the circle O is 0

This triangle should be isosceles right triangle, and its radius is (√ 2-1) / 2

In RT △ ABC, C = 90 °, then the maximum value of sinasinb is 0______ ．

According to the basic inequality, sinasinb ≤ sin2a + sin2b2, ∵ in RT △ ABC, C = 90 °, a + B ∵ 90 °, sinasinb ≤ sin2a + sin2b2 = 12, the equal sign holds when Sina ∵ SINB ∵ 22

The first side length of triangle is a, the second side length is 2a-3, and the third side length is 1 / 2A + 1

Perimeter C = a + 2a-3 + 1 / 2A + 1 = 7 / 2a-2
(the last a is on the molecule, right)