Answer:
y=24
Step-by-step explanation:
since the triangles are similar, their sides are all in proportion
meaning:
[tex] \frac{20}{15} = \frac{32}{y} [/tex]
simplify the fraction
[tex] \frac{4}{3} = \frac{32}{y} [/tex]
cross multiply once the fraction is simplified
[tex]96 = 4y[/tex]
y = 24
the first triangle 20 : x : 32
the 2nd triangle 15 : 21 : y
Solve the equation of two triangles by similarity
x = [tex]\frac{21 * 20}{15}[/tex] = 28
y = [tex]\frac{21 * 32}{28}[/tex] = 24
