What is the area of this triangle in the coordinate plane? 5 units² 6 units² 7 units² 12 units² A graph with a triangle drawn be
tween coordinates begin ordered pair 1 comma 1 end ordered pair begin ordered pair 1 comma 4 end ordered pair and coordinates begin ordered pair 5 comma 1 end ordered pair
1 answer:
Answer:
6 units²
Step-by-step explanation:
The coordinates (1,1) (1,4) (5,1) form a right triangle as shown in the graph below
The base is is (1,1) and (5,1) so the length is 5-1 or 4 units
The height is (1,1) and (1,4) so the height is 4-1 or 3 units
Area of a triangle is given by
A = 1/2 bh
= 1/2 (4*3)
= 1/2 *12
= 6 units^2
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Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;