Saved Bookmarks
| 1. |
24. If each side of a triangle is increased by 4 cm, the ratio of the perimeters of the new triangle and the given triangle is 7:5. Find the perimeter of the given triangle.Hint. Let the perimeter of given triangle be x cm. As each side is increased by 4 cm,so the perimeter is increased by (3 x 4) cm i.e. 12 cm. According to given information,x+12 75ha rectangle is 5cm lose than twiceinghred |
|
Answer» er of the given triangle = 30 cmStep-by-step EXPLANATION:LET each SIDES of the given triangle be a,B and C respectively.The sides of the new triangle = (a+4),(b+4),(c+4) respectively.Perimeter of a triangle = a+b+cA.T.Q.Perimeter of the new triangle/Perimeter of the given triangle = 7/5This implies, (a+4)+(b+4)+(c+4) = 7 a+b+c 5a+b+c+4+4+4/a+b+c = 7/5So, a+b+c+12/a+b+c = 7/5(a+b+c+12)5 = (a+b+c)75a+5b+5c+60 = 7a+7b+7c 5a-7a+5b-7b+5c-7c+60 = 0-2a-2b-2c+60 = 0-2(a+b+c) = -60a+b+c = 60/2So, a+b+c = 30 cmHence, Perimeter of the given triangle = 30 cmHope it helps you.Please mark me as the brainliest. |
|