The other information that will prove that the two triangles are similar is Angle I is congruent to Angle L
<h3>How to determine the other information that will prove that the two triangles are similar?</h3>
The similar triangles are given as:
Triangle GHI and Triangle JKL
The above means that
Angle G = Angle J
Angle H = Angle K
Angle I = Angle L
The postulate is given as AA similarity postulate, and the congruent angles are given as:
Angle H = Angle K
This means that the other information that will prove that the two triangles are similar is Angle I is congruent to Angle L
Read more about AA postulate at:
brainly.com/question/21247688
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Answer:
60.28.
Step-by-step explanation:
We need the sine function because we are given the opposite side and we need the hypotenuse.
sin 71 = 57 / x
Cross multiply
x * sin 71 = 57
x = 57 / sin 71
= 60.28.
Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
