Find the length of x.

Answer

x = 7.5

Explanation

This is a case of similar triangles.
Similar triangles have bigger triangles which have sides which are multiples of smaller triangles sides.

We know that the adjacent side of the bigger triangle is 6 and for the smaller triangle it’s 4 so the constant factor by which the sides of the small triangle are multiplied to obtain the sides of the large triangle is

6/4 = 3/2

Since we know the hypotenuse of the smaller triangle is 5.

Multiply this by 3/2 to get the hypotenuse of the bigger triangle

3/2 • 5 = 7.5

Hope this helped

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