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2 votes
What is the area of this triangle?

A.1/2(y^3


B.


C.


D.


E.

What is the area of this triangle? A.1/2(y^3 B. C. D. E.-example-1
What is the area of this triangle? A.1/2(y^3 B. C. D. E.-example-1
What is the area of this triangle? A.1/2(y^3 B. C. D. E.-example-2

2 Answers

1 vote

Answer:

D

Step-by-step explanation: plato/ edmentum answer.

User Manza
by
6.3k points
3 votes

Answer:

Option: D is the correct answer.


Area(A)=(1)/(2)(y_2-y_1)(x_3-x_1)

Explanation:

We know that the area of a triangle is given by the formula:


Area=(1)/(2)* base* height

Here in this figure we have a base as a line segment joining,


(x_1,y_1)\ \text{and}\ (x_1,y_2)

Hence, the measure of length of base is:


Base=√((x_1-x_1)^2+(y_2-y_1)^2)\\\\\\Base=√(0+(y_2-y_1)^2)\\\\\\Base=(y_2-y_1)

and height is a line segment joining,


(x_1,y_3)\ \text{and}\ (x_3,y_3)

Hence, measure of height of triangle is:


Height=√((x_3-x_1)^2+(y_3-y_3)^2)\\\\\\Height=√((x_3-x_1)^2+0)\\\\\\Height=(x_3-x_1)

Hence, the area of triangle is:


Area=(1)/(2)(y_2-y_1)(x_3-x_1)

What is the area of this triangle? A.1/2(y^3 B. C. D. E.-example-1
User Antony Thompson
by
7.1k points