Answer:
Area of triangle = 1/2 (h+5)*h
Area of triangle = 1/2*b*(b-5)
Step-by-step explanation:
Base of triangle = b
height of triangle = h
Given height that is 5 units shorter than its base
Thus,
height of triangle = Base of triangle - 5
substuting value of height and base of triangle
h = b -5 __________(1)
adding 5 on LHS and RHS
h+5 = b - 5 + 5
h+5 = b ----------> (2)
Area of triangle = 1/2(base* height)
using height h = b-5 from equation 1 and base as b
Area of triangle = 1/2b*(b-5)
using base b = h+5 from equation 2 and height as h
Area of triangle = 1/2 (h+5)*h
Thus, area of triangle can be written in two form
Area of triangle = 1/2 (h+5)*h
Area of triangle = 1/2*b*(b-5)
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