Answer:
6; 40
Step-by-step explanation:
Problem 1:
Based on the triangle similarity theorem, we would have the following equation:
Let the missing side length = x
Thus:
(15 + x)/15 = 14/(14 - 4)
(15 + x)/15 = 14/10
(15 + x)/15 = 7/5
Cross multiply
5(15 + x) = 7*15
75 + 5x = 105
5x = 105 - 75
5x = 30
x = 30/5
x = 6
Missing side = 6
Problem 2:
Applying similarly theorem also, we have:
Let the missing side = x
x/(x - 25) = 24/(24 - 15)
X/(x - 25) = 24/9
x/(x - 25) = 8/3
Cross multiply
x*3 = 8(x - 25)
3x = 8x - 200
3x - 8x = -200
-5x = -200
x = -200/-5
x = 40
Missing side = 40
