Please get out a graph for this one. The points A (5,4), B (1,0) and C (9,0) form a triangle. Only one of the following statements about the triangle is true. The true statement is

a) The Triangle is acute

b) The area of the triangle is 20 u squared

c) The point (7,3) is inside the triangle

d) The perimeter of the triangle is 16u

e) Angle ACB=45 degrees

Hans007
May 7, 2017

#1**+1 **

Look at the image :

(a) is untrue.....angle BAC = 90

(b) is untrue...the area = (1/2)(8)(4) = 16 u^2

(c) is obviously false

(d) false...The perimeter > 16 = 5.66*2 + 8 = about 19.32

(e) is true.....AB = AC so.....since BAC = 90......the two angles opposite these two sides are = 45

CPhill
May 7, 2017