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kirill [66]
3 years ago
13

Can someone help me figure out the reasoning and the answer please explain ?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0
1. You can divide the triangle shown in the figure attached in two right triangles with the length MR=8√3 and RO=<span>8√3
</span> 
 2. Let's choose one of the triangles and then we must apply the <span>Pythagorean Theorem, as below:
</span> 
 h²=a²+ b² ⇒  a=√ <span>h²-b²</span>
<span> 
 h: hypotenuse (the opposite side of the right angle and the longest side of the triangle</span><span>).
</span><span> a and b: legs (the sides that form the right angle).
</span><span> 
 3. </span>We want to find one of the legs (The height NR), so<span> we have:
</span><span> 
 h²=a² + b²
</span><span> a²=h²-b²
</span> a=√ <span>h²-b²
</span> a=√((16√3)²-(8√3 )<span>²)
</span> a=NR=<span>8√3
 
 Then, the answer is: The height of the triangle is NR=</span>8√3 units<span>
 </span>
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