All categories

2 years ago

Can the lengths 15 cm, 4 cm, and the square root of 209 cm make a right triangle?

Mathematics

1 answer:

Dimas [21]2 years ago

6 0

Answer: Yes they can

Step-by-step explanation:

Use Pythagoras rule c²=b²+a²

b²=209

c²=15²=225

a²=4²=16

209+16=225

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Inessa05 [86]

Answer:

$tan(450-a)=5\sqrt{3}-8$

Step-by-step explanation:

We know that:

$tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

$tan(450-a)=\frac{tan(450)-tan(a)}{1+tan(450)tan(a)}$

Remember:

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and:

$tan(a)=\frac{1}{2}$

Thus:

$tan(450-a)=\frac{tan(60)-tan(a)}{1+tan(60)tan(a)}\\\\$

Then:

$tan(450-a)=5\sqrt{3}-8$

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Step-by-step explanation:

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2 years ago

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Zigmanuir [339]

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Step-by-step explanation:

The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

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Step-by-step explanation:

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