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It can have any area greater than 0 cm2 and less than or equal to 81(3-√8) ≈ 13.897 cm2.
Without further information that provides the length of (at least) one side it is impossible to say which of these areas the triangle has.
For example:
base = 9 cm, hypotenuse = 9 cm
⇒ height = 18 - 9 - 9 cm = 0 cm
⇒ area = 9x0/2 = 0 cm2
This triangle does not actually exist and represents the minimum of the area.
base = 6 cm, hypotenuse = 7.5 cm
⇒ height = 18 - 6 - 7.5 cm = 4.5 cm
⇒ area = 6x4.5/2 = 12.5 cm2
Note that base2 + height2 = 36 + 20.25 = 56.25 = 7.52 = hypotenuse2 and so this is a right angle triangle.
base = 9(2-√2) cm ≈ 5.272 cm, hypotenuse = 18(√2 -1) cm ≈ 7.456 cm
⇒ height = 18 - 9(2-√2) - 18(√2 -1) cm = 9(2-√2) cm ≈ 5.272 cm
⇒ area = 9(2-√2) x 9(2-√2)/2 = 81(3-√8) cm2 ≈ 13.897 cm2
This triangle is a right angle triangle (check out Pythagoras on the lengths) and is the right angle triangle of largest area with perimeter 18 cm.
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How do you find the area of the right angle triangle given the base hypotenuse and perimeter?
It is: perimeter minus hypotenus+base = height Area = 0.5*base*height
What is the perimeter of a right angle triangle that has an hypotenuse of 16.25 cm and an area of 46.875 square cm?
Using Pythagoras' theorem and the quadratic equation formula the sides of the triangle work out as 6.25 cm and 15 cm. Therefore the perimeter of the right angle triangle is: 6.25+15+16.25 = 37.5 cm
How do you find the area of a triangle when given 3 angles and the perimeter?
If you know the lengths of 2 sides and the included angle then use: Area of a triangle = 1/2*a*b*sinC
What is the formula for equillateral triangle?
There are different formula for: Height, Area, Perimeter, Angle, Length of Median Radius of inscribed circle Perimeter of inscribed circle Area of inscribed circle etc.
What is the lateral area of the right equilateral triangle prism?
It is the perimeter of a triangle times the length of the prism (in square units).
What shape has an area of 6cm but perimeter of 12cm?
A right angle triangle fits the dimensions given
How do you find the area of the right angle triangle given the base hypotenuse and perimeter?
It is: perimeter minus hypotenus+base = height Area = 0.5*base*height
How do you find the perimeter of a right angled triangle using the area?
how to find the perimeter of a right angled triangle using the area
What is the perimeter of a right angle triangle that has an hypotenuse of 16.25 cm and an area of 46.875 square cm?
Using Pythagoras' theorem and the quadratic equation formula the sides of the triangle work out as 6.25 cm and 15 cm. Therefore the perimeter of the right angle triangle is: 6.25+15+16.25 = 37.5 cm
What area of right triangle?
Area of a right angle triangle is: 0.5*base*height
What is the perimeter and area of a right angle triangle that has a height of 7 cm greater than its base and an hypotenuse of 17 cm?
Perimeter: 8+15+17 = 40 cm Area: 0.5*8*15 = 60 square cm
What is the area of a triangle that has a perimeter of 37?
The perimeter of a triangle does not provide sufficient information to calculate its area.
How do you find the area of a triangle when given 3 angles and the perimeter?
If you know the lengths of 2 sides and the included angle then use: Area of a triangle = 1/2*a*b*sinC
Area of a right angle triangle?
area=(1/2)*base*height
What is the formula for equillateral triangle?
There are different formula for: Height, Area, Perimeter, Angle, Length of Median Radius of inscribed circle Perimeter of inscribed circle Area of inscribed circle etc.
What is the lateral area of the right equilateral triangle prism?
It is the perimeter of a triangle times the length of the prism (in square units).
What is the area of right angled triangle at the right?
There is no right triangle on the right! (Ignore the length of the hypotenuse of a right triangle.) if you have the length of the two legs (base and the upright side): (base x upright) ÷ 2 = area of the right angle triangle.
