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emmasim [6.3K]
3 years ago
9

Triangle ABC has vertices at A(-5, 4), B(4, 1), and C(1, -8). Choose the terms below which correctly describe this triangle:

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

An ISOSCELES TRIANGLE

Step-by-step explanation:

Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.

Distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

For side |AB|:

A(-5, 4) and B(4, 1)

|AB| = √(4-(-5))²+(1-4)²

|AB| = √9²+3²

|AB| = √90

For side |BC|

B(4, 1), and C(1, -8)

|BC| =√(1-4)²+(-8-1)²

|BC| = √3²+9²

|BC| = √90

For side |AC|:

A(-5, 4) and C(1, -8).

|AC| = √(1-(-5))²+(-8-4)²

|AC| = √6²+12²

|AC| = √36+144

|AC| = √180

Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.

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Answer:

The measure of the largest angle in the kite is 128 degrees

Step-by-step explanation:

we know that

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substitute

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C+D=160^o ----> equation A

Remember that

one is four times larger than the other

so

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substitute equation B in equation A

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3 years ago
Drinks cost 85p each.
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7 0
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The answer is 5:6:20 but can someone explain how plz?
Leya [2.2K]
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The ratio of green to blue is 3:10 telling us that for every 3 green cars, there are 10 blue cars. 

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------------------------------

Let's say we had 5 red cars, 6 green cars and 20 blue cars
Based on that info, we know that the ratio of red to green is 5:6
And the ratio of green to blue is 6:20 which reduces to 3:10

We don't reduce 6:20 to 3:10 however, since that would change the green count from 6 to 3. We want to keep the green count at 6.

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Step-by-step explanation:

3 0
3 years ago
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The volume of the gallon is 6000 gallon
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solving this we get:
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8 0
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