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zysi [14]
3 years ago
7

The perimeter of the isosceles ?ABC with the base BC is equal to 40 cm. Perimeter of the equilateral ?BCD is 45 cm. Find AB and

BC.
Mathematics
1 answer:
Juliette [100K]3 years ago
7 0

Answer: AB = 12.5, BC = 15

<u>Step-by-step explanation:</u>

Perimeter of ΔBCD = BC + CD + BD. Since it is an isoceles triangle, then BC = CD = BD. So, Perimeter of ΔBCD = 3BC

3BC = 45

<u>÷3   </u>    <u>÷3 </u>

 BC = 15

Perimeter of ΔABC = AB + BC + AC.  Since it is an isosceles triangle with BC as the base, then AB = AC. So, Perimeter of ΔABC = 2AB + BC

2AB + BC = 40

2AB + 15 = 40

<u>          -15</u>  <u> -15 </u>

2AB       = 25

<u>÷2         </u>   <u>÷2  </u>

      AB  = 12.5

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