Saved Bookmarks
| 1. |
find the area of triangle two sides are 42 cm, 34 cm & 20 cm in length. hence find the height corresponding to the long side |
|
Answer» Semiperimeter (s) = (42 + 34 + 20 ) / 2So it is = 96 / 2 = 48 cm. Using herons formula = (√s )(√s-a )(√s-b) (√s-c)By substituting s and a , b , c i.e the given sides.We have√48 ×√6 ×√14 ×√28So √(4 × 6 × 2) ×√6 ×√(7 × 2) ×√(7 × 4)Simplifying the numbers we have area = 4 × 6 × 2 × 7 = 336 cm²Hence area is 336 cm² Now height corresponding to longest side implies that base is 42 cm and area remains same So area of triangle is 1/ 2 b × h336 = 1/ 2 × 42 × HHENCE H = 16 cm |
|