Introduction to solve geometry exam:
Geometry is a branch of mathematics that can be deals with the size, shape, position of shapes, and the properties of space. The geometry is also deals with the applications such as surveying, measurements, areas, and volumes. In Theoretical geometry or pure geometry, we give proofs for theorems on the properties of geometrical figures by applying axioms and reasoning. In practical geometry, we do not construct exactly the geometrical figures but draw rough sketches of the figures to give support to our logical reasoning. I like to share this Quadrilateral Formula with you all through my article.
Example problems to solve geometry exam:
Example problems to solve geometry exam are as follows:
1) The side length of cube is 10 cm. Find the volume of the cube.
Solution:
Formula for volume of the cube = a^3.
a= side length of the cube.
a=10 cm.
= (10)^3.
Volume of the cube =1000 cm^3.
This is the solution for the given geometry problem.
2)A triangle has a perimeter of 56. If 2 of its sides are equal and the third side is 8 more than the equal sides, what is the length of the third side?
Solution:
Let y = length of the equal side
Perimeter = sum of three sides.
Plug in the values from the question.
56 = y + y + y + 8
Combine like terms
56 = 3y + 8
3y = 56 – 8 (by equating the given equation)
3y = 48
y =16
Note: the third side is 5 more than the equal sides.
So, the length of third side = 16 + 8 =24
Answer: The length of third side is 24
Additional problems to solve geometry exam:
Additional problems to solve geometry exam are as follows:
1)The ratio of two supplementary angles is 12 to 6. Find the measure of each angle.
Solution:
Let measure of smaller angle = 12x, measure of larger angle = 6x.
12x + 6x = 180° (The sum of supplementary angles is 180°.)
18x = 180°
x = 10°
Then, 12x = 12(10°) and 6x = 6(10°).
So, 12x = 120° and 6x = 60° (by equating the given equation)
The angles have measures of 120° and 60°.
This is the solution for the given geometry example problem.
Geometry is a branch of mathematics that can be deals with the size, shape, position of shapes, and the properties of space. The geometry is also deals with the applications such as surveying, measurements, areas, and volumes. In Theoretical geometry or pure geometry, we give proofs for theorems on the properties of geometrical figures by applying axioms and reasoning. In practical geometry, we do not construct exactly the geometrical figures but draw rough sketches of the figures to give support to our logical reasoning. I like to share this Quadrilateral Formula with you all through my article.
Example problems to solve geometry exam:
Example problems to solve geometry exam are as follows:
1) The side length of cube is 10 cm. Find the volume of the cube.
Solution:
Formula for volume of the cube = a^3.
a= side length of the cube.
a=10 cm.
= (10)^3.
Volume of the cube =1000 cm^3.
This is the solution for the given geometry problem.
2)A triangle has a perimeter of 56. If 2 of its sides are equal and the third side is 8 more than the equal sides, what is the length of the third side?
Solution:
Let y = length of the equal side
Perimeter = sum of three sides.
Plug in the values from the question.
56 = y + y + y + 8
Combine like terms
56 = 3y + 8
3y = 56 – 8 (by equating the given equation)
3y = 48
y =16
Note: the third side is 5 more than the equal sides.
So, the length of third side = 16 + 8 =24
Answer: The length of third side is 24
Additional problems to solve geometry exam:
Additional problems to solve geometry exam are as follows:
1)The ratio of two supplementary angles is 12 to 6. Find the measure of each angle.
Solution:
Let measure of smaller angle = 12x, measure of larger angle = 6x.
12x + 6x = 180° (The sum of supplementary angles is 180°.)
18x = 180°
x = 10°
Then, 12x = 12(10°) and 6x = 6(10°).
So, 12x = 120° and 6x = 60° (by equating the given equation)
The angles have measures of 120° and 60°.
This is the solution for the given geometry example problem.
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