In circle A, ∠BAE ≅ ∠DAE.
2 answers:
The image of circle A is missing, so i have attached it;
Answer:
x = 17
Step-by-step explanation:
In Δs EAB and EAD
We are told that;
∠BAE ≅ ∠DAE
AB = AD = AE
Now,
The Two triangles have two corresponding equal sides and the angles between them are equal, thus, we can say that the two triangles are congruent by SAS (Side Angle Side) postulate of congruence
By using the result of congruence, we can say that;
EB ≅ ED
We are given that;
EB = 3x - 24 and ED = x + 10
Thus,
3x - 24 = x + 10
∴ 3 x - 24 = x + 10
Add 24 to both sides to give;
3x = x + 34
Subtract x from both sides to give;
2x = 34
Divide both sides by 2 to give;
x = 17
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The segment length is 14 (square root)2
Given that Triangle ABC is right angle triangle
The vertex marked is B where side AC is the hypotenuse
The side of AC is at Vertex B is 14
The dash segment from vertex B to point D on side AC
Angle BDA is marked right angle .
Angles A and C both marked 45 degrees.
As shown in diagram
Triangle ABC is drawn according to the statement where B is vertex
The side lengths are 14
Now to find Another side length that is x
So , the equation formed is
x*cos45 = 14
x/√2 = 14
x = 14√2
Hence the length of the segment is 14√2
Learn more about Right angle triangle here brainly.com/question/64787
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