Respuesta :

Using the figure below, find the value of b, the value of b is mathematically given as

b=11.25

What is the value of b.?

Generally, the equation for the comparison b/w the two triangles is mathematically given as

x^2+z^2=(a+b)^2...(1

Therefore

triABD

x^2=a^2+y^2

triADC

b^2+y^2=Z^2

Therefore, subbing into equ one

a^2+y^2+b^2+y^2=a(15)^2

a(15)^2=(a+b)^2

In conclusion, In Tri

tan60=y/a

√3*a=√a*√b

√3a=√b

Therefore

3a=b

a+b=15

a+3a=15

a=15/4

Therefore

b=15-15/4

b=11.25

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