A triangle has a perimeter of 36 cm. The altitudes of the triangles are in the ratio of 1:2:3. Find the measure of each sides.
Answer:
if a,b,c are the sides of triangle and e,f,g are the altitudes, then
0.5 be = 0.5 ag = 0.5 cf = area of triangle ------------- 1
given, a + b + c = 36
and e:f:g = 1:2:3
or e/1 = f/2 = g/3 = x say
so, e = x, f = 2x and g = 3x ------------------ 2
substituting 2 in 1, we get
b = 2c = 3a
or b = c/0.5 = a/.33 = (a+ b+ c)/(1+0.5 + 0.33)
or b = 216/11, c = 108/11 and a = 72/11
Answer:
if a,b,c are the sides of triangle and e,f,g are the altitudes, then
0.5 be = 0.5 ag = 0.5 cf = area of triangle ------------- 1
given, a + b + c = 36
and e:f:g = 1:2:3
or e/1 = f/2 = g/3 = x say
so, e = x, f = 2x and g = 3x ------------------ 2
substituting 2 in 1, we get
b = 2c = 3a
or b = c/0.5 = a/.33 = (a+ b+ c)/(1+0.5 + 0.33)
or b = 216/11, c = 108/11 and a = 72/11
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