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Find the PERIMETER of the triangle below. Round your answer to the nearest tenth.

Find The PERIMETER Of The Triangle Below Round Your Answer To The Nearest Tenth class=

Sagot :

Blythezzzzzzz
Hi how you doing? Be safe
colevv

Answer:

16.4 units

Step-by-step explanation:

Refer to the attached image, just find the hypotenuses of the three additional triangles, and add them up to become the perimeter of the yellow triangle.

Using Pythagoras Theorem:

Hypotenuse of the red triangle

[tex] = \sqrt{ {3}^{2} + {5}^{2} } [/tex]

[tex] = \sqrt{34} [/tex]

Hypotenuse of the blue triangle

[tex] = \sqrt{ {3}^{2} + {3}^{2} } [/tex]

[tex] = \sqrt{18} [/tex]

Hypotenuse of the green triangle

[tex] = \sqrt{ {2}^{2} + {6}^{2} } [/tex]

[tex] = \sqrt{40} [/tex]

The perimeter of the yellow triangle

[tex] = \sqrt{34} + \sqrt{18} + \sqrt{40} [/tex]

[tex] = 16.398...[/tex]

= 16.4 units

View image colevv
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