solomon3
contestada

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

Which best describes the range of possible values for the third side of the triangle?

x < 12.5, x > 18.9

12.5 < x < 18.9

x < 6, x > 26

6 < x < 26

Respuesta :

AL2006

-- If the 3rd side is less than 6, it could never reach between the ends of the 10 and the 16.

-- If the 3rd side is more than 26, then the 10 and the 26 could never reach its ends.

So the 3rd side must be longer than 6 and shorter than 26.

6 < x < 26

batolisis

The range of possible values of the third side of the triangle is 12.5 ∠ x ∠ 18.9

What is an acute triangle?

An acute triangle is a triangle in which at least two of the angles of the triangle are less than 90°.

Analysis:

This triangle is a scalene right angle triangle.

If 16cm is taken to be the hypotenuse, the length of the other side by Pythagoras is [tex]\sqrt{16^{2} - 10^{2} }[/tex] = 12.5

if the third side is taken as the hypotenuse, length of the third side is [tex]\sqrt{16^{2} + 10^{2} }[/tex] = 18.9

Range of values of the third side is 12.5 ∠ x ∠ 18.9

Learn more about acute triangles: brainly.com/question/1058720

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