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littlemisschris
01.03.2021 •
Mathematics
Expand and simplify 3(x+2) +2 ( x+5)
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Ответ:
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Ответ:
The given triangle LMN is an obtuse-angled triangle.
Step-by-step explanation: We are given to use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle.
From the figure, we note that
in ΔLMN, LM = 5 units, MN = 13 units and LN = 14 units.
We know that a triangle with sides a units, b units and c units (a > b, c) is said to be
(i) Right-angled triangle if![b^2+c^2=a^2,](/tpl/images/0335/2663/ef44e.png)
(ii) Acute-angled triangle if![b^2+c^2a^2,](/tpl/images/0335/2663/9479a.png)
(iii) Obtuse-angled triangle if![b^2+c^2<a^2.](/tpl/images/0335/2663/f2a67.png)
For the given triangle LMN, we have
a = 14, b = 13 and c = 5.
So,
Therefore,![b^2+c^2<a^2.](/tpl/images/0335/2663/f2a67.png)
Thus, the given triangle LMN is an obtuse-angled triangle.