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Sagot :
Answer:
[tex]y = 12[/tex]
Step-by-step explanation:
Given
Triangles GHI and JKL
See attachment for illustration
Required
Find the value of y
We have:
[tex]GH = 4[/tex]
[tex]GI = 6[/tex]
[tex]JK = 8[/tex]
[tex]JL = y[/tex]
Sides GH and JK are similar
Sides GI and KL are also similar
Since both triangles are similar, then the ratio of similar sides must be equal.
[tex]Ratio = GH : JK[/tex]
[tex]Ratio = GI : JL[/tex]
Equate both ratios
[tex]GH:JK = GI:JL[/tex]
Substitute values for GH, GI, JK and JL
[tex]4 : 8 = 6 : y[/tex]
Convert to fractions
[tex]\frac{4}{8} = \frac{6}{y}[/tex]
[tex]\frac{1}{2} = \frac{6}{y}[/tex]
Cross Multiply
[tex]1 * y = 6 * 2[/tex]
[tex]y = 12[/tex]
Answer:
y = 12.
Step-by-step explanation:
I just took the test and got it right. This is because 8 is twice the size as 4, so it can be determined that all you need to do is multiply 6 by 2. I hope this helps!
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