What is the area of triangle #QRS# with altitude #ST#, given #Q(0,5), R(-5, 0), S(3, 4),# and #T(-2, 3#)?

1 Answer
sankarankalyanam
May 1, 2018

#color(maroon)("Area of " Delta " QRS" = 18.03 " sq units"#

Explanation:

http://www.dummies.com/education/math/geometry/how-to-solve-problems-with-the-altitude-0n-hypotenuse-theorem/

#QR = s " is the base of the triangle"#

#s = sqrt((-5-0)^2 + (0-5)^2) = sqrt 50 = 7.07#

#ST = h " is the height of the triangle"#

#h = sqrt((-2-3)^2 + (3-4)^2) = sqrt 26 = 5.1#

#"Area of " Delta " QRS" = A = (1/2) * s * h = (1/2) * 7.07 * 5.1 = 18.03#

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