Which of the following could be the lengths of the sides of a 30°-60°-90° triangle?

Mathematics

2 answers:

Inga [223]3 years ago

7 0

According to Pythagoras theorem

a^2+b^2=c^2

similarly ,

3^2+ 4^2= 5^2

9+16=25
25=25

LHS=RHS
so angle of triangle is 30 , 60 and 90

answer is 3,4,5

Zolol [24]3 years ago

3 0

C. √3, 3, 2√3 is your answer

Note that 30°-60°-90° triangle has the measurements of 1, √3, 2.

In this case, we are multiplying √3 to all sides

1(√3) = √3
√3(√3) = 3
2(√3) = 2√3

C. √3, 3, 2√3 is your answer

hope this helps

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lutik1710 [3]

Answer:

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To be able to solve for WX, we need to first find the size of angle $\angle z$ .

We use the law of sines in the blue triangle to do such:

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Now we can use this value in the larger right angle triangle where WX is the opposite side to angle $\angle z$ , and the 20 mm side is the hypotenuse:

$sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm$