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ΔABC is a right triangle. ΔA'B'C' has a hypotenuse of 10 after ΔABC undergoes a dilation by a factor of 2. If ΔABC has a short leg of 5 - x and a long leg of 2x, what is the length of the short leg of ΔABC?

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MissPhiladelphia
You are given ΔABC as a right triangle. ΔA'B'C' has a hypotenuse of 10 after ΔABC undergoes a dilation by a factor of 2. And if ΔABC has a short leg of 5 - x and a long leg of 2x, the length of the short leg of ΔABC is 3
schoolkevon

Answer:

3

Step-by-step explanation:

ΔABC hypotenuse =  

10

2

= 5

c2 = a2 + b2

52 = (5 - x)2 + (2x)2

x = 2 or x = 0

thus,

ΔABC short leg = 5 - x = 5 - 2 = 3

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