The triangles are similar. solve for x

x= 6.25

Step-by-step explanation:

The hypotenuse of triangle JKL is taken as 96, in the similar way the hypotenuse of triangle JTU is 36. So x can be found by first finding the value of JU, using the Pythagoras theorem.

In this shape the formula will be:

Substitute the given values in the shape into the formula.

TU = 34

JT = 27

TU = Lets take 'y'

1156 = 729 +

= 1156 - 729

= 427

y = = 20.7 ( rounded to 1 decimal place) = 21 (rounded to whole number).

So the original value of JU is '21', but we have to find the value of 'x'. So the expression '-4 + 4x' is equal to 21. This can be written as:

-4 + 4x = 21

4x = 21 + 4

4x = 25

∴ x = = 6.25

x= 6.25

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