kishahall630
02.02.2020 •
Mathematics
The perimeter of a triangle with two equal sides is 46 cm. if it's base were lengthened by 3 cm and each leg were shortened by 5 cm, all three sides would be equal. find the length of the base of the original triangle
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Ответ:
The original triangle has sides of 18 cm, 18 cm and 10 cm
Step-by-step explanation:
Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.
1. Since the perimeter of the original triangle is 46 cm, then
x+x+y=46.
2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then
y+3=x-5.
3. Solve the system of two equations:
Then
Ответ:
So,
A=2(4 1/5(9 1/2) + 3 4/5(9 1/2) +3 4/5 (4 1/5)
A=2·(4.2·9.5+3.8·9.5+3.8·4.2)
=183.92