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Keith_Richards [23]
2 years ago
11

a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle​

Mathematics
1 answer:
Solnce55 [7]2 years ago
4 0

Answer: 6  cm

Step-by-step explanation:

Use equation for area of triangle

A=a*h/2

a*h=2A

a=2A/h

where a  represents base of triangle

h represents height of triangle.

h=12.8 cm

A=38.4 cm²

a=2A/h=2*38.4 cm²/12.8 cm=76.8cm²/12.8cm= 6 cm

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nirvana33 [79]

Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here,  triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒  m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° >  ( m∠ L+ m∠ N ) > 0      ( Since, a < b ⇒ - a > - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

5 0
2 years ago
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Which geometric figure consists of the set of all points in a plane that are the same distance from a given point?
elixir [45]
An arc, a circle and a sphere describe a geometric figure consisting of the set of points in a plane that are the same distance from a given point.

An arc is any two connected sections of the circumference of a circle. Whereas an arc consists of the set of points in a plane that are the same distance from a given point it does not consist ALL the points.

A circle is a simple closed shape in consisting of the set of all points in a plane that are at a given distance from a given point, called the centre of the circle. A circle is a 2-dimensional figure and thus does not contain set of points in the 3-dimensional plane. Hence a circle does not consist ALL the points in a plane that are at a given distance from a given point.

A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball. Like a circle, which geometrically is an object in two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance, r, from a given point, but in three-dimensional space. This distance, r, is the radius of the sphere, and the given point is the center of the sphere.

Thus, the sphere<span> consists of the set of ALL points in a plane that are the same distance from a given point.</span>


6 0
2 years ago
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Answer:

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Step-by-step explanation:

5 0
2 years ago
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Answer:

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5 0
2 years ago
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Draw a figure as shown below,

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From the given figure it is easily noticed that in ΔVZX and ΔWXZ,

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2 years ago
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