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3 years ago

The perimeter of the right angle triangle is 96cm

2 answers:

7 0

Given : the perimeter of the right angle triangle is 96cm the length in sides are in a ratio 6:8:10. work out the area of the triangle in cm²

Need to Find : The area of the Rectangle

_____________________________________

Let us assume the constant multiple be x

So,

Let the length be 10x

Let the breadth be 6x

Let the height be 8x

Now, as we know that the Perimeter of rectangle is 96 cm

★ Perimeter = Sum of all three sides of a triangle

➛ 96 cm = 6x + 8x + 10x

➛ 96 cm = 24x

➛ x = 96/24

➛ x = 4 cm

Putting x = 4 we get

Length = 10(4) = 40 cm

Breadth = 6(4) = 24 cm

Height = 10(4) = 32 cm

As we know that

★ Area = ½ × Base × Height

➛ Area = ½ × 24 × 32

➛ Area = 12 × 32

➛ Area = 384 cm²

Henceforth the area is 384 cm²

Bess [88]3 years ago

3 0

Answer:

384 cm^2

Step-by-step explanation:

The perimeter is calculated by adding all side lengths

if the ratio is 6:8:10 then let x represent the numbers

then we can make this equation

6x + 8x + 10x = 96

24x = 96 divide both sides by 24

x = 4 the side lengths are 6*4, 8*4 and 10*4

The area of a triangle is calculated by multiplying height and base and that divided by two

in right triangles the height is the larger leg and the base is the shorter leg

so the area of this triangle is :

32*24 / 2 = 384 cm^2

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3 years ago

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Taya2010 [7]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

Find the missing length indicated 144 and 60

Alexxandr [17]

The missing length in the right triangle as given in the task content is; 156.

<h3>What is the missing length indicated?</h3>

It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;

x² = 144² + 60²

x² = 20736 + 3600

x² = 24,336

x = √24336

x = 156.

Remarks: The complete question involves a right triangle and the missing length is the longest side.