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The base of a triangle is 12cmThe Triangle has an area of 48 cm2The Height of the triangle is?
Wiki User
∙ 14y ago
48 x 2 = 96
96 / 12 = 8
answer = 8
Wiki User
∙ 14y ago
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How would you find the dimensions and interior angles to the nearest degree of a right angle triangle when its height is greater than its base by 1.85 cm and has an area of 20.535 square cm?
First, you need to find the lengths of the sides of the triangle.let the base = xso the height = x + 1.85cmarea = 20.535 cm2The area of a right triangle is 1/2*b*h, so using the base & height above we have:(1/2)*(x)*(x+1.85) = 20.535x2 + 1.85x = 41.07x2+1.85x-41.07 = 0From algebra you can use the quadratic equation to solve for x: x = [-b +- SQRT (b2-4ac)]/2a where a=1, b=1.85, c=-41.07. You will get two answers one of which will be negative & the other positive. You only need to use the positive root, which in this case is 5.55.So the base is 5.55 cm & the height of the triangle is 7.40 cm. Now pick one of the angles and use the tangent function to solve for the angle measurement. I used the angle adjacent to the base:tan (X) = opposite/adjacent or height/basetan (X) = 7.40 / 5.55(x) = tan-1(1.33333)(X) = 53.1 or 53othe other interior angle is simply 180o - (90o+53o) = 37oSo the interior angles are 53o & 37oAdditional Information:-The dimensions of the triangle must include its hypotenuse so use Pythagoras' theorem:-5.552+7.42 = 85.5625 and the square root of this is 9.25Therefore the dimensions are: hypotenuse 9.25 cm, height 7.4 cm and base 5.55 cm
What is the total area of a cylinder with a radius of 8cm and a height of 8cm?
I presume you mean total surface area of the cylinder:Area = 2πr(r + h)= 2π8(8 + 8)= 256π cm2~= 804.25 cm2The cylinder consists of 2 circular disks at each end and the curved surface.The area of each of the disks is πr2.To work out the area of the curved surface, imagine cutting the cylinder from end to end and flattening out the edge; then it will be a rectangle with length the height of the cylinder and width the perimeter of the circular end. Thus its area is 2πrhThus the total surface area of the cylinder is:area = πr2 + πr2 + 2πrh= 2πr2 + 2πrh= 2πr(r + h)
What is the surface area of a sphere with a radius of 5 cm?
The surface area is about 314.16 cm2The formula for the surface area of a sphere is 4 (pi) r2For a radius of 5 cm, the surface area is4 (3.1416) (5)2 = 4 (3.1416)(25) = about 314.16 cm2*Do not confuse the sphere's surface area formula SA = 4 (pi) r2 withthe formula for the volume of the sphere, which is V = 4/3 (pi) r3
How many sqare centimeters are in 1 sqare meter?
Geometrically, 1 square meter (1 m2) is not a simple straight line. It is a 1 m x 1 m square. Each "dimension" (the value of the exponent) must be accounted for:1 m = (100 cm)1 = 100 cm1 m^2 = (100 cm)2 = 10,000 cm2The exponent distributes over both the unit and quantity. Keep this in mind when converting between units of dimensions (exponents) greater than 1.
How would you find the dimensions and interior angles to the nearest degree of a right angle triangle when its height is greater than its base by 1.85 cm and has an area of 20.535 square cm?
First, you need to find the lengths of the sides of the triangle.let the base = xso the height = x + 1.85cmarea = 20.535 cm2The area of a right triangle is 1/2*b*h, so using the base & height above we have:(1/2)*(x)*(x+1.85) = 20.535x2 + 1.85x = 41.07x2+1.85x-41.07 = 0From algebra you can use the quadratic equation to solve for x: x = [-b +- SQRT (b2-4ac)]/2a where a=1, b=1.85, c=-41.07. You will get two answers one of which will be negative & the other positive. You only need to use the positive root, which in this case is 5.55.So the base is 5.55 cm & the height of the triangle is 7.40 cm. Now pick one of the angles and use the tangent function to solve for the angle measurement. I used the angle adjacent to the base:tan (X) = opposite/adjacent or height/basetan (X) = 7.40 / 5.55(x) = tan-1(1.33333)(X) = 53.1 or 53othe other interior angle is simply 180o - (90o+53o) = 37oSo the interior angles are 53o & 37oAdditional Information:-The dimensions of the triangle must include its hypotenuse so use Pythagoras' theorem:-5.552+7.42 = 85.5625 and the square root of this is 9.25Therefore the dimensions are: hypotenuse 9.25 cm, height 7.4 cm and base 5.55 cm
What is the total area of a cylinder with a radius of 8cm and a height of 8cm?
I presume you mean total surface area of the cylinder:Area = 2πr(r + h)= 2π8(8 + 8)= 256π cm2~= 804.25 cm2The cylinder consists of 2 circular disks at each end and the curved surface.The area of each of the disks is πr2.To work out the area of the curved surface, imagine cutting the cylinder from end to end and flattening out the edge; then it will be a rectangle with length the height of the cylinder and width the perimeter of the circular end. Thus its area is 2πrhThus the total surface area of the cylinder is:area = πr2 + πr2 + 2πrh= 2πr2 + 2πrh= 2πr(r + h)
Find the volume of a sphere whose surface area is 154cm?
Assuming you mean 154 cm2The volume is 179.7 cm3Surface area of a sphere = 4 pi r2Volume of a sphere = 4/3 pi r3SA = 154 cm2154 = 4 pi r2r2 = 154/4/pir = 3.5V = 4/3 x pi x (3.5)3= 179.7 cm3
What is the surface area of a sphere with a radius of 5 cm?
The surface area is about 314.16 cm2The formula for the surface area of a sphere is 4 (pi) r2For a radius of 5 cm, the surface area is4 (3.1416) (5)2 = 4 (3.1416)(25) = about 314.16 cm2*Do not confuse the sphere's surface area formula SA = 4 (pi) r2 withthe formula for the volume of the sphere, which is V = 4/3 (pi) r3
How many sqare centimeters are in 1 sqare meter?
Geometrically, 1 square meter (1 m2) is not a simple straight line. It is a 1 m x 1 m square. Each "dimension" (the value of the exponent) must be accounted for:1 m = (100 cm)1 = 100 cm1 m^2 = (100 cm)2 = 10,000 cm2The exponent distributes over both the unit and quantity. Keep this in mind when converting between units of dimensions (exponents) greater than 1.
