Here, we have two pairs of similar triangles.
Let's find the values of x and y.
• Sol,vin,g for x:
Given:
Length of longer base = 9
Length of shorter base = 5
Length of smaller leg = 8
Let's solve for x.
Since the triangles are similar, the corresponding sides will be in proportion.
To solve for x, apply the proportionality equation:
Cross multiply and solve for x:
• Solving for y:
Given:
Length of longer base = 3
Length of longer leg = 6
Length of smaller leg = 4
Length of total base = y
To solve for y, we have the equation:
Cross multiply and solve for y:
ANSWER:
• x = 12
• y = 5