Question

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.​

Answer 1

$\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

Answer 2

Answer:

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