The sides of a triangle are distinct positive | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b)

Let the sides be $a, b, c$ which are in A.P. with $c$ as the smallest.

$	herefore c =10$

$	herefore a , b > 10$

$	herefore 2 b =

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(b) Let the sides be $a, b, c$ which are in A.P. with $c$ as the smallest. $ herefore c =10$ $ herefore a , b > 10$ $ herefore 2 b = a + c = a +10$ $ herefore b + c > a$ $\Rightarrow b +10 > a$ From eq $(1)$ and $(2)$: $\Rightarrow b +10 > 2 b -10$ $\Rightarrow b < 20$ $ herefore 10 < b < 20$ $ herefore$ No. of possible values of $b=9$ $ herefore$ No. of triangles possible $=9$

The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is $10$, the number of such triangles is

Similar Questions

Let $S_{1}$ be the sum of first $2 n$ terms of an arithmetic progression. Let, $S_{2}$ be the sum of first $4n$ terms of the same arithmetic progression. If $\left( S _{2}- S _{1}\right)$ is $1000,$ then the sum of the first $6 n$ terms of the arithmetic progression is equal to:

If the first term of an $A.P.$ is $3$ and the sum of its first four terms is equal to one-fifth of the sum of the next four terms, then the sum of the first $20$ terms is equal to

If all interior angle of quadrilateral are in $AP$ . If common difference is $10^o$ , then find smallest angle ?.....$^o$

The solution of ${\log _{\sqrt 3 }}x + {\log _{\sqrt[4]{3}}}x + {\log _{\sqrt[6]{3}}}x + ......... + {\log _{\sqrt[{16}]{3}}}x = 36$ is

Write the first five terms of the sequences whose $n^{t h}$ term is $a_{n}=\frac{2 n-3}{6}$