How many triangles can be constructed with angle measurements 134°,10°,36° ? exactly one triangle, more than one triangle, no
2 answers:
Answer:
More than one triangle
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
In a triangle the sum of its internal angles must be equal to degrees
In this problem
The sum of the internal angles is equal to
so
By the sum of the internal angles, we can construct a triangle
but
By the length of the sides keeping the same internal angles, we can construct infinite similar triangles
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Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16 = ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16 - 1
= (4 )² - 1²
= (4 - 1)(4
+ 1)
4 - 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16 - 1
= (2x² - 1)(2x² + 1)(4 + 1 )