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slava [35]
3 years ago
8

Find the perimeter RST. Round answer to the nearest tenth Show all the work

Mathematics
1 answer:
kow [346]3 years ago
6 0

Answer:

35.1 units

Step-by-step explanation:

Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:

RS²=3²+6²

RS=\sqrt{45}≈6.7 units

Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:

RT²=9²+12²

RT=\sqrt{225} = 15 units

Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:

TS²=12²+6²

TS=\sqrt{180}≈13.4 units

Perimeter=RS+RT+TS

=6.7+15+13.4

=35.1 units

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