Answer:
Step-by-step explanation:
The first step is to use the Distance Formula to figure out the lengths of the two legs:
R(1, 1) and P(−1, −2) ↷
Q(2, −4) and P(−1, −2) ↷
* So, by my calculations, we have an isosceles <em>right triangle</em>, and according to the <em>45°-45°-90° triangle theorem</em>, we automatically know that the hypotenuse, <em>RQ</em>, is :
30°-60°-90° triangle theorem
2x, x, x√3
↑ ↑ ↑
h leg leg
y
p
o
t
e
n
u
s
e
45°-45°-90° triangle theorem
x√2, x, x
↑ ↑ ↑
h legs
y
p
o
t
e
n
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s
e
So now, we have to find the area of the triangle by taking half of either height or base, then multiplying that by the height or base, but since this is an isosceles <em>right</em><em> </em><em>triangle</em><em>,</em><em> </em>it does not matter:
I am joyous to assist you anytime.