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Lesechka [4]
3 years ago
8

Triangle ABC is translated 1 unit right and 2 units down. What are the coordinates of the translated triangle?

Mathematics
2 answers:
Alona [7]3 years ago
8 0
A' = (2,1)
B' = (5,3)
C' = (4,-1)
Pavlova-9 [17]3 years ago
3 0

Answer:

A'(2,1)

B'(5,3)

C'(4,-1)

Step-by-step explanation:

We have been given an image of a triangle ABC, which is translated 1 unit right and 2 units down. We are asked to find the coordinates of the translated triangle.

We know that translation to right by 'a' units means adding 'a' units to x-coordinate and translation by 'a' units down means subtracting 'a' units from y-coordinates.

So after applying the given translation coordinates of translated triangle will be:

A(1,3)\rightarrow A'(1+1,3-2)=A'(2,1)

B(4,5)\rightarrow B'(4+1,5-2)=B'(5,3)

C(3,1)\rightarrow C'(3+1,1-2)=C'(4,-1)

Therefore, the coordinates of the translated triangle are:

A'(2,1)

B'(5,3)

C'(4,-1)

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3 years ago
Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths. 4 m, 8 m, 9 m *
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Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

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Given a triangle with side length 4 m, 8 m, 9 m:

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Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.

7 0
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an exterminator must treat the perimeter of a house for insects if the house is 90 feet long and 30 feet wide what is the total
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Please help me answer this!
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Answer:

<em>x = 3</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

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\tan 60^\circ=\sqrt{3}:

\displaystyle x=\frac{3\sqrt{3}}{\sqrt{3}}

Simplifying:

x = 3

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3 years ago
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