The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,

Mathematics

1 answer:

Grace [21]2 years ago

5 0

Answer:

45 meters

Step-by-step explanation:

Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.

Units is represented as u.

Sum of all 3 sides= 95 m

4u +6u +9u= 95

19u= 95

u= 95 ÷19

u= 5 meters

Longest side= 9 units

Length of the longest side= 9(5) = 45m

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One number is 8 more than the other. When the larger is divided by the smaller, the quotient is 7/5

Wewaii [24]

Answer:

<h3> The numbers are 20 and 28</h3>

Step-by-step explanation:

x - the other number (the smaller one)

x+8 - 8 more than the other number (the larger number)

$\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28$