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zlopas [31]
2 years ago
12

Find x on this special right triangle

Mathematics
1 answer:
tigry1 [53]2 years ago
6 0

Answer:

The answer is 7

Step-by-step explanation:

We know than Tan45=1

Tanx=opp/adj

tan45=y/(7\sqrt{2})/2

Thus y=7\sqrt{2}/2

We know by pythagoras theorem that hyp^2=side^2+side^2

x^{2}=((7\sqrt{2} /2)^{2}+(7\sqrt{2}/2)^{2}

x^{2}=(49(2)/4)+(49(2)/4)

x^{2}=(49/2)+(49/2)

x^{2}=(98/2)

x^{2}=49

x=7

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