Question

Quanto mede a hipotenusa na figura (preciso de cálculo)

Answer 1

b² + c² = a²

(r+1)² + (2r)² = (r+3)²

r²+2r+1 + 4r² = r²+6r+9

4r² -4r -8 = 0 ==> :(4)

r² - r - 2 = 0

∆= 1+8=9

r= -b+√∆/2a = 1+3/2= 2 ✓

hipotenusa= a= r+3= 2+3 = 5 <=====©