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Help please triangles and trig

Help please triangles and trig-example-1
User Timea
by
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1 Answer

26 votes
26 votes

Given:

A figure of a right angle.

To find:

The value of x.

Solution:

We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.

If the altitude "h", divides the hypotenuse in two segments "a" and "b", then


image

In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.

Using the above theorem, we get


image


image


image

Therefore, the required solutions for the given blanks are:

Blank 1: 72

Blank 2: 6

Blank 3: 2

User Speg
by
2.7k points
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