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What is the perimeter of a right angle triangle whose height is greater than its base by 1.75 cm with an area of 1837.5 square mm showing work to the nearest cm?
Wiki User
∙ 10y ago
1 Let the height be x+1.75 and the base be x
2 1837.5 sq mm is the same as 18.375 sq cm
3 0.5*(x+1.75)*x = 18.375 => x2+1.75x-36.75 = 0
4 Using the quadratic equation gives x a positive value of 5.25
5 Therefore: height = 7 cm and base = 5.25 cm
6 Using Pythagoras: hypotenuse = 8.75 cm
7 Perimeter: 8.75+7+5.25 = 21 cm
Wiki User
∙ 10y ago
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What is the perimeter of an equilateral triangle whose area is 97.428 square cm showing work and answer to the nearest integer?
Let the sides be s:- If: 0.5*s squared*sin(60 degrees) = 97.428 Then: s = square root of 97.428*2/sin(60 degrees) => 15.00001094 Perimeter: 3*15 = 45 cm
What is the perimeter of an isosceles triangle whose base is 15.96 cm with an area of 84.9072 square cm showing all work and answer?
These are basically the steps: * Use the formula for the area of a triangle to calculate the height. * Use the height and half the base to calculate the lateral sides. Use the Pythagorean Theorem. (It helps to draw a sketch, to visualize the situation.) * Add the three sides to get the perimeter.
What is the largest angle of a triangle with sides of 5.8cm by 14.1cm by 8.3cm showing work?
Such a triangle would be impossible to construct with the given 3 dimensions because in order to construct a triangle the sum of its 2 shortest sides must be greater than the length of its longest side.
What is the area of a rhombus when one of its diagonals is 11.8 cm in length and has a perimeter of 29 cm showing work and answer?
Perimeter = 29 cm so each side is 7.25 cm. The triangle formed by the diagonal and two sides has sides of 7.25, 7.25 and 11.8 cm so, using Heron's formula, its area is 24.9 square cm. Therefore, the area of the rhombus is twice that = 49.7 square cm.
What is 0.197 rounded to the nearest hundredth?
0.20
What is the perimeter of an equilateral triangle whose area is 97.428 square cm showing work and answer to the nearest integer?
Let the sides be s:- If: 0.5*s squared*sin(60 degrees) = 97.428 Then: s = square root of 97.428*2/sin(60 degrees) => 15.00001094 Perimeter: 3*15 = 45 cm
Showing the greater class?
what is the difination of showing the greater class
What is the perimeter of an isosceles triangle whose base is 15.96 cm with an area of 84.9072 square cm showing all work and answer?
These are basically the steps: * Use the formula for the area of a triangle to calculate the height. * Use the height and half the base to calculate the lateral sides. Use the Pythagorean Theorem. (It helps to draw a sketch, to visualize the situation.) * Add the three sides to get the perimeter.
What is the largest angle of a triangle with sides of 5.8cm by 14.1cm by 8.3cm showing work?
Such a triangle would be impossible to construct with the given 3 dimensions because in order to construct a triangle the sum of its 2 shortest sides must be greater than the length of its longest side.
Why when the US flag is folded what shape is it?
it should be a triangle with no red showing
Customers are showing greater price sensitivity in their search for?
value
What is the area of a rhombus when one of its diagonals is 11.8 cm in length and has a perimeter of 29 cm showing work and answer?
Perimeter = 29 cm so each side is 7.25 cm. The triangle formed by the diagonal and two sides has sides of 7.25, 7.25 and 11.8 cm so, using Heron's formula, its area is 24.9 square cm. Therefore, the area of the rhombus is twice that = 49.7 square cm.
What is the perimeter of a right angle triangle whose height is greater than its base by 1.45 cm and has an area of 12.615 square cm showing work in progressive stages?
1 Let its height be x+1.45 and its base be x2 So: 0.5*(x+1.45)*x = 12.615 multiply both side by 23 Therefore: x2+1.45x-25.23 = )4 Using quadratic equation formula gives x a positive value of 4.355 It follows: height = 5.8 and base = 4.356 Using Pythagoras: hypotenuse = 7.257 Perimeter: 5.8+4.35+7.25 =17.4 cm
What is the length of the hypotenuse of a right angle triangle when its area is 54 square cm and its perimeter is 36 cm showing how you achieved your answer?
according to the formulae : area of triangle = (1/2) x base of triangle x height 54=(1/2)xBxH B x H = 108 now we have to factorize it.. factors can be.. (12,9),(27,4)(18,6)(36,3) now its given perimeter=36 we have to check two condition for the tringle to be right angle triangle sum of two sides > third side sum of the square of the two sides of triangle(shorter sides)= square of the third side. only one factor (12,9) satisfies both the conditions.. so the third side comes out to be 36-(12+9)=15 so the sides are...12,9,15. that's your answer..
What is 0.197 rounded to the nearest hundredth?
0.20
What is the proof showing that the heights of a triangle are concurrent?
There cannot be a proof because the statement need not be true.
How do you find the perimeter of a right triangle whose height is 2.5 greater than its base with an area of 37.5 sq cm showing all work?
Suppose the base is B. Then height is B+2.5 Therefore Area = 0.5*Base*Height implies that 37.5 = 0.5*B*(B+2.5) or 0.5B2 + 1.25B - 37.5 = 0 which implies that B = 7.5 m (the other root of the quadratic is negative). Then H = 7.5+2.5 = 10 m By Pythagoras, the third side is sqrt(7.52 + 102) = sqrt(156.25) = 12.5 m So, the perimeter is 7.5 + 10 + 12.5 = 30 metres
