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What is the perimeter of a right angle triangle whose height is 2.5 cm greater than its base with an area of 37.5 sq cm show work?
Suppose base is B cm
Then Height is B + 2.5 cm
Area = 0.5*Base*Height = 0.5*B*(B + 2.5) which is given to be 37.5
So 0.5*B2 + 1.25*B = 37.5
That is 2B2 + 5B - 150 = 0
ie (B + 10)(2B - 15) = 0
that is B = -10 or B = 7.5
Since B is a length, it cannot be negative. So B = 7.5 cm
Then H = B + 2.5 = 10 cm
These sides are in the ratio of 3:4 (with common factor 2.5) so they form part of the Pythagorean triplet of 3:4:5. Hence the third side is 5*2.5 = 12.5 cm.
[Alternatively you can calculate the length of the hypotenuse as the square root of the sum of squares on the two sides].
And so perimeter = 7.5 + 10 + 12.5 = 30 cm
What else can I help you with?
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 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 a side opposite to greater angle in triangle called?
In a triangle, the side opposite the greater angle is referred to as the longest side. This relationship is established by the triangle inequality theorem, which states that in any triangle, the larger the angle, the longer the side opposite that angle. Therefore, if one angle is greater than another, the side opposite the greater angle will also be longer than the side opposite the smaller angle.
An obtuse triangle is a triangle that has how many angle degree?
An obtuse triangle is a triangle that has one angle greater than 90 degrees.
What is the formula of perimeter of right angle triangle?
There is not enough information to answer the question.
How do you find the perimeter of a triangle with perpendicular height?
The height of a triangle alone is not enough information to find the perimeter. You need some angle measures or side lengths.
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
Triangle with a perimeter of 9 and a angle of 60 with a similar triangle with a perimeter of 12 what is the angle degree of the second triangle?
== == The corresponding angle is 60 degrees.
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 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 a triangle with one angle greater than right angle?
obtuse triangle
What is a side opposite to greater angle in triangle called?
In a triangle, the side opposite the greater angle is referred to as the longest side. This relationship is established by the triangle inequality theorem, which states that in any triangle, the larger the angle, the longer the side opposite that angle. Therefore, if one angle is greater than another, the side opposite the greater angle will also be longer than the side opposite the smaller angle.
An obtuse triangle is a triangle that has how many angle degree?
An obtuse triangle is a triangle that has one angle greater than 90 degrees.
What is the formula of perimeter of right angle triangle?
There is not enough information to answer the question.
What is the name of a triangle that has one angle greater than a right angle?
Obtuse-angled triangle
What is the name of the triangle that is greater than 90 degrees?
A triangle that has an angle greater than 90o is an obtuse triangle.
In any triangle the greater angle lies opposite the greater?
Any triangle has its largest angle opposite the longest side, and the smallest angle opposite the shortest side.
