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3 years ago

What is the 100th triangular number?

Mathematics

1 answer:

krek1111 [17]3 years ago

5 0

Answer:

$T_1_0_0=5050$

Step-by-step explanation:

A triangular number is number that can be recomposed in the form of an equilateral triangle. Each triangular number is defined by:

$T_n=\frac{n^2+n}{2} \hspace{5} n\in N$

Hence, evaluating n=100

$T_1_0_0=\frac{(100)^{2}+100 }{2} =5050$

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3 years ago

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4 years ago

GEOMETRY PROOFS!

yarga [219]

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

Additional comment:-

SAS property:-

"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)

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