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e-lub [12.9K]
3 years ago
6

two right triangles share a common side and have equal areas. the hypotenuse of the light green triangle is one of the legs of d

ark green triangle stacked on top of it. if the smallest angle of light green triangle is 18 degrees, what are the angles of the dark green triangle?
Mathematics
1 answer:
Alexandra [31]3 years ago
5 0

Answer:

the two angles of dark green triangle are 90 degrees, 72 degrees and 18 degrees.

Step-by-step explanation:

As dark green triangle is stacked on top of light green triangle and one side of dark green is sharing hypotenuse of light green, considering both have same area, mean same 1/2 base* height ,also one leg of both is same so its obvious that both heights and bases of triangles are same. Considering all the above facts both triangles are forming a square with common side as diagonal of square.

So, the angles of light green triangle are 90 , 18 and (180-90-18)=72 degrees

One angle of dark green is already 90 degrees , the other two combined with light green form 90 degrees (as both are side angles of square).

90-18=72

90-72=18

Hence the three angles of dark green triangle are 90,72 and 18.

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If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i
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Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

B': (-1, -2)  

C': (3, -2)

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  • From the attached image, we can see that the coordinates are;

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
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  • Applying these translation numbers to our coordinates, we will now have;

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        C(-2 + 5, 2 - 4)

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Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

D: (3, 2)

Read more at; brainly.com/question/4726090

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2 years ago
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