Math, asked by nights9, 14 days ago

The perimeter of a right angle triangle is 450 m and its sides are in the ratio 13 : 12 :5. find the area of triangle.​

Answers

Answered by JONE45AVENGERS
3

\huge\bigstar\:\Huge\tt\underline\blue{ANSWER}

6750 m²

\huge\bigstar\:\Huge\tt\underline\red{EXPLAINATION}

The perimeter of a right angle triangle is 450 m and its sides are in the ratio 13 : 12 :5. find the area of triangle.

Let the sides be 12x , 13x and 5x

As 12, 13 and 5 are Pythagoras triplets it is a right angle triangle .

Given Perimeter = 450m

12x + 13x + 5x = 450

30x = 450

x = 450/30

= 15

Now Area of Triangle

Area = 1/2 x × 13x × 5x

6x × 5x = 30x²

We know the value of x that's 15

Now

30×15²

30× 225

6750 m²

HOPE THIS ANSWER IS HELPFUL TO U

Answered by Anonymous
2

Answer:

 \mathfrak{ \large{ \purple{ \underline{ \underline{given}}}}} \\  \\   \ \: \small \implies \: perimeter \: of \: right \: angle \: triangle \:  = 450m \\  \\ \small \implies ratio \: of \: sides \:  =  \: 13 : 12 : 5 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\  \mathfrak{ \large{ \pink{ \underline{ \underline{solution}}}}} \\  \\   \small \implies \: perimeter \:  =  \: 450 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \:  \small \implies  \: 13x \:  +  \: 12 x   + \: 5x \:  =  \: 450 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\   \small \implies \: 30x \:  =  \: 450 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \:  \small \implies x \:  =  \: 15 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \mathfrak{ \small{ \underline{ \boxed{ \red{sides}}}}} \\  \\  \small \implies \: 195 \:  \:  \: 180 \:  \:  \:  75 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\

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