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Research topic: the relationship between the three sides of a right triangle
Property 1: The sum of squares of two right angles of a right triangle is equal to the square of the hypotenuse.

Property 2: In a right triangle, two acute angles are complementary.

Property 3: In a right triangle, the median line on the hypotenuse is equal to half of the hypotenuse.

Property 4: The product of two right angles of a right triangle is equal to the product of the hypotenuse and the height of the hypotenuse.

Property 5: As shown in the figure, in Rt△ABC, ∠ BAC = 90, and AD is the height on the hypotenuse BC, then the projective theorem is as follows:

( 1)(AD)×2=BD DC

(2)(AB)×2=BD BC

Projection theorem diagram

(3)(AC)×2=CD BC

Equal product formula

(4)ABXAC=ADXBC

(Proof of usable area)

(5) The radius of the circumscribed circle of the right triangle R= 1/2BC,

(6) The radius of the inscribed circle of the right triangle r= 1/2(AB+AC-BC) (formula1); R=AB*AC/(AB+BC+CA) (Formula 2)