What is the area of the triangle in the diagram?

Question

asked Oct 16, 2019 8.4k views

2 Answers

Nick To · Answer 1 · 2019-10-22T18:22:07+0000

Answer:

(B)

Explanation:

Given: A triangle whose coordinates are (0,0),
(x_(1),y_(1)) and
(x_(2),y_(1)) .

To find: The area of the triangle.

Solution: We know that Area of triangle=
(1)/(2){*}base{*}height .

Now, Base=
$\sqrt{(x_(2)-x_(1))^(2)+(y_(1)-y_(1))^(2)}$

Base=
(x_(2)-x_(1))

And height=
$\sqrt{(0-0)^2+(y_(1)-0)^2}$

Height=
y_(1)

Therefore, area of triangle=
$(1)/(2){*}(x_(2)-x_(1))}{*}y_(1)$

Area of triangle=