is side of triangle is increased by 10 centimetre if the ratio of the parameters of the new triangle and the given triangle is 5 ratio 4 and the find the perimeter of the given Triangle
Answers
Answer:
120
Explanation:
Let the sides of the triangle be x cm.
According to Question,
the sides of the triangle are increased by 10 cm
∴ the sides will be x + 10 cm.
∵ the ratio of the perimeter of new triangle and the given triangle is 5:4
perimeter of the new triangle will be : x + 10 + x + 10 + x + 10
= 3x+30
perimeter of the old triangle will be : x + x + x = 3x
∴ 3x+30
12x+120=15x
3x=120
x=40
So, the perimeter of the old triangle will be 40+40+40=120
and, the perimeter of the new triangle will be 50+50+50=150
120 cm
Explanation:
Given:
Ratio of parameters of the new triangle and the given triangle =
5:4
Let us assume,
each side = x
The perimeter of the triangle= 3x
New perimeter= 3x+30 (Increased by 10)
So,
⇒3x+30:3x = 5:4
⇒(3x+30) / 3x = 5/4
⇒4(3x+30) = 3x(5)
⇒12x+120 = 15x
⇒120 = 15x-12x
⇒=3x
⇒120/3=x
⇒40=x
perimeter of given tringle=3x
⇒3 ×(40)
=120cm
Thus, the correct answer is = 120 cm.
Learn more :
parameter of triangle : https://brainly.in/question/14516028