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Gemiola [76]
3 years ago
8

3. Can a triangle have sides with the given lengths? 8 cm, 7 cm, 9 cm

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0

Answer:yes

Step-by-step explanation:

Elza [17]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of bipyramids and certain Catalan solids.

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What two numbers' sum=-4 and product=-2
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Let <em>a</em> and <em>b</em> be the two numbers. Then

<em>a</em> + <em>b</em> = -4

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Solve the second equation for <em>b</em> :

<em>b</em> = -2/<em>a</em>

Substitute this into the first equation:

<em>a</em> - 2/<em>a</em> = -4

Multiply both sides by <em>a</em> :

<em>a</em>² - 2 = -4<em>a</em>

Move 4<em>a</em> to the left side:

<em>a</em>² + 4<em>a</em> - 2 = 0

Use the quadratic formula to solve for <em>a</em> :

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<em>a</em> = -2 ± √6

If <em>a</em> = -2 + √6, then

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In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.

7 0
3 years ago
Can someone help me with this please ?
d1i1m1o1n [39]

If the triangle is a right triangle, then

       (3x)² + x² = (10)² .

         9x² + x² = 100

             10x²  = 100

                 x²  =  10

                 x  =  √10  =  approx. 3.1622...

If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.

' x ' has to be greater than  2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .

So, if    2.5  <  x  <  √10 , then there is a triangle, and it's obtuse.


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