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Zigmanuir [339]
3 years ago
15

In the diagram, angle abc is a right angle. Find the value of x Show full working out pls ty

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

x = 3.75

Step-by-step explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

{(10 - x)}^{2}  =  {x}^{2}  +  {5}^{2} \\ 100 - 20x +  {x}^{2}   =  {x}^{2}  + 25 \\ 100 - 20x = 25 \\  - 20x = 25 - 100 \\  - 20x =  - 75 \\ x =  \frac{ - 75}{ - 20}  \\   \:  \: \huge \red { \boxed{x = 3.75}}

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<em>Additional comment</em>

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