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Roman55 [17]
3 years ago
7

Write a similarity statement relating the three triangles in the diagram

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

b. ∆DEF ~ ∆HDF ~ ∆HED  

Step-by-step explanation:

When you name similar triangles, the order of the letters of corresponding angles must be in matching order.

For example, in ∆DEF, ∠D is the right angle, ∠E is the larger acute angle, and ∠F is the smallest angle.

The corresponding parts in ∆HDF are ∠H, ∠D, and ∠F.

In ∆HED, they are ∠H, ∠E, and ∠D.

The similarity statement is

∆DEF ~ ∆HDF ~ ∆HED

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2 years ago
Please help Im giving 25 points
Alex787 [66]
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Read 2 more answers
What's the answer?????????????
Taya2010 [7]

Answer:

BD = 12 :)

Step-by-step explanation:

Alright, we'll need the Pythagorean theorem for this!

So, the length of AC is 10. That means the lengths of AD and DC are both half of that, which is 5 :)

DC = 5

We already know that BC = 13, so we can plug in these values into the pythagorean theorem for the right triangle BDC:

BD^2 + DC^2 = BC^2

BD^2 + 5^2 = 13^2

BD^2 + 25 = 169

BD^2 = 169 - 25 = 144

BD = √144 = 12 :)

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