i have a question in math

Question

(( distance between two points ))

the vertices of a right triangle are S(-2,-2), T(10,-2), and R(4,5). find the area of the triangle.

please in detales .. thank u

Answer 1

first of all, your triangle is not right-angled.
The slopes are 7/6, -7/6 and zero
None of these are negative reciprocals of each other, a condition for a right angle.

But the area is easy to find
Clearly the base ST = 12 units and the height from R to ST is 7

So the area = 1/2 x 12 x 7
= 42 units^2

Answer 2

thank u

Answer 3

can u explain how u get the height ?