The ratio of the shorter side pf a right angled triangle is 5:12.If th

1.	The ratio of the shorter side pf a right angled triangle is 5:12.If the perimeter of the triangle is 420cm,find the length of the longest side. please give step by step explanation.
Answer» Answer: Hypotenuse is the LONGEST side of right ANGLED triangle. Let the two other sides, which are in fact the shorter sides, be ‘5x’ cm & ‘12x’ cm Let the hypotenuse be ‘h’cm Applying Pythagoras theorem, (5x)^2 + (12x)^2 = h^2 => 125x^2 + 144x^2 = h^2 => h^2 = 169x^2 => h = 13X (Taking square ROOT of both sides) Since, perimeter = 420, 5x + 12x + 13x= 420 => 30x=420 =>x = 14 Therefore, longest side = hypotenuse = h =13x=13 into 14=182 cm Ans = 182 cm

The ratio of the shorter side pf a right angled triangle is 5:12.If the perimeter of the triangle is 420cm,find the length of the longest side. please give step by step explanation.

Answer»

Answer:

Hypotenuse is the LONGEST side of right ANGLED triangle.

Let the two other sides, which are in fact the shorter sides, be ‘5x’ cm & ‘12x’ cm

Let the hypotenuse be ‘h’cm

Applying Pythagoras theorem,

(5x)^2 + (12x)^2 = h^2

=> 125x^2 + 144x^2 = h^2

=> h^2 = 169x^2

=> h = 13X (Taking square ROOT of both sides)

Since, perimeter = 420,

5x + 12x + 13x= 420

=> 30x=420

=>x = 14

Therefore, longest side = hypotenuse = h =13x=13 into 14=182 cm

Ans = 182 cm

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The ratio of the shorter side pf a right angled triangle is 5:12.If the perimeter of the triangle is 420cm,find the length of the longest side. please give step by step explanation.​

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The ratio of the shorter side pf a right angled triangle is 5:12.If the perimeter of the triangle is 420cm,find the length of the longest side. please give step by step explanation.