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adelina 88 [10]
3 years ago
5

Help me solve this for geometry!!​

Mathematics
1 answer:
Tanzania [10]3 years ago
8 0

Answer:

The chord is drawn below

Step-by-step explanation:

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What are the dimensions of the largest 30-60-90 triangle that will fit inside a 45-45-90 triangle with leg length 14in.? Sketch
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The dimensions would be 7√2, 7√6 and 14√2.

A 45-45-90 triangle has two equal legs and a hypotenuse that is equal to the leg multiplied by the square root of two (t, t, t√2).

A 30-60-90 triangle has legs that are equal to t, t√3, and 2t.  

The longest side on the 45-45-90 triangle will be 14√2.  This will also be the longest side of the 30-60-90 triangle; this gives us

2t = 14√2

Dividing both sides by 2, we have
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We now have t and 2t; we lack t√3:

t = 7√2
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