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Murljashka [212]
2 years ago
10

Given: ∠GHD and ∠EDH are right; GH ≅ ED Triangles G H D and E D H overlap and intersect at point F. The triangles share side H D

. Sides G H and E D are congruent. angles G H D and E D H are right angles. Which relationship in the diagram is true ?
A. △GHD ≅ △EDH by SAS
B. △GHF ≅ △EDF by SSS
C. △FDH ≅ △FDE by ASA
D. △HFD ≅ △HFG by SSS
Mathematics
1 answer:
dybincka [34]2 years ago
4 0

Answer:

The answer is A

Step-by-step explanation:

I just took the testand aced it

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1) To find x we are going to use the Pythagorean equation:
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where 
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2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
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y=arctan(0.8)
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We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
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