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The sides of a triangle are in the Ratio 4:5:6 and its perimeter is 120cmWhat are the length of sides? |
Answer» Given :-The sides of a triangle are in the Ratio 4:5:6 Perimeter of triangle is 120cm To Find :-What are the length of sides? Solution :-~Here, we’re given the ratio of sides of a triangle , perimeter of that triangle and we need to find the length of its sides. Firstly we’ll ASSUME the sides of the triangle according to the given RATIOS and then we’ll form an equation according to the question. After solving that equation we can find the sides of the triangle. _____________As we know that, ✬ Perimeter of a triangle = SUM of all sides Let the length of sides be :
Solving for x :- ⟶ 4x + 5x + 6x = 120 ⟶ 15x = 120 ⟶ x = 120/15 ⟶ x = 8Finding the sides :- 》First side = 4x = 4 × 8 = 24 cm 》Second side = 5x = 5 × 8 = 40 cm 》Third side = 6x = 6 × 8 = 48 cm _____________Hence,
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