Math, asked by radhakrisnan, 8 months ago

If the height of a triangle is decreased by 40% and it's base is increased by 40%, what will be the effect on its area ?​

Answers

Answered by salman570
0

Answer:

4o

I think it is correct

Answered by Anonymous
1

Answer:

\huge\underline\bold {Question:}

If the height of a triangle is decreased by 40% and its base is increased by 40%, what will be the effect on its area ?

\huge\underline\bold {Answer:}

Let the original base and height of the triangle be b units and h units respectively. Then,

Original area

 =  \frac{1}{2} bh = 0.5bh

New base

 = b + 40\% \:  \: of \:  \: b \:  \:  = 1.4b

New height

 = h - 40\% \:  \: of \:  \: h \:  = 0.6h

Therefore, new area

 =  \frac{1}{2}  \times 1.4b \times 0.6h =  \frac{0.84bh}{2}  \\  = 0.42bh

Decrease in area

 = 0.5bh  - 0.42bh = 0.08bh

Therefore per cent decrease

 =  \frac{0.08bh}{0.5bh}  \times 100 \\  = 16\%

Similar questions