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luda_lava [24]
4 years ago
12

Find the missing side of a right triangle with leg length 5 yards and hypotenuse 13 yards.

Mathematics
2 answers:
Roman55 [17]4 years ago
4 0

<em>answer =12 \: yards  \\ solution \\ hypotenuse(h) = 13 \: yards \\ perpendicular(p) = 5 \: yards \\ base(b) = ?\\ using \: pythagorus \: theorem \\  {h}^{2}  =  {p}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {h}^{2}  -  {p}^{2}  \\  {b}^{2}  =  {13}^{2}  -  {5}^{2}  \\  {b}^{2}  = 169 - 25 \\  {b}^{2}  = 144 \\ b =  \sqrt{144 }  \\ b =  \sqrt{ {12}^{2} }  \\ b = 12 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

dimaraw [331]4 years ago
3 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem

let the missing side be x

5² +x² = 13²

25 + x² = 169

x² = 169 - 25

x² = 144

x =√144

x = 12 yards

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