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disa [49]
3 years ago
7

Find the value of x.

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

This is a right triangle, so we know that:

h² = b' · c'

which is this case can be specificly written as:

BD² = AD · CD

BD² = 7 · 3 = 21

BD = √21

Now that we can also notice that ΔADB is also a right triangle, therefore we can apply the pythagorean theorem:

AD² + BD² = AB²

7² + (√21)² = x²

x²               = 49 + 21 = 70

x                 = √70

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Mathematically, the area of a trapezoid can be calculated using the formula;

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