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The diagram below shows a diagram of a new bridge.An engineer took some measurements and found that a=1105, b=820 and c=1350.How long is the bridge? ____ft

The diagram below shows a diagram of a new bridgeAn engineer took some measurements and found that a1105 b820 and c1350How long is the bridge ft class=

Respuesta :

To solve this problem, I'll use the Pythagorean theorem.

1.- I'll find the first section of the bridge from left to right

x^2 = a^2 - b^2

x^2 = 1105^2 - 820^2

x^2 = 1221025 - 672400

x^2 = 548625

x = 740.7 ft

2.- I'll find the length of the second section of the bridge

y^2 = c^2 - b^2

y^2 = 1350^2 - 820^2

y^2 = 1822500 - 672400

y^2 = 1150100

y = 1072

3.- Calculate the length of the bridge

Bridge = 740.7 + 1072.4

Bridge = 1813.1 ft

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