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r-ruslan [8.4K]
3 years ago
15

Given: EDF=ABF Name the postulate or theorem you can use to prove ADE=EBA.

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

The HL (hypotenuse leg) theorem states that any two right triangles that have a  congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Step-by-step explanation:

AE is congruent to itself.

AB is congruent to DE

<ADE and <EBA are right angles, making them right triangles

Therefore ADE is congruent to EBA by the HL theorem.

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6 0
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Find x<br> A. 22√2<br> B. 22<br> C. 11√3/3<br> D. 11√3
mel-nik [20]

Answer

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Step-by-step explanation:

First we gave a name to the side that is common for both triangles, can be Y for example.

Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.

sin(45)=\frac{11}{Y}  \\ , Because sin(x)= op/hip

cos(60)=\frac{Y}{x} , Because con(x)=ad/hip

Having this equations, we can solve the system and find x

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we equal Y and solve

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Then we rationalize

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Hope you like it!

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3 years ago
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