Question

The three sides of a triangle are 2 K units, (k + 2) units and (3k - 2) units, respectively. Its area is 2 k root 15 sq units. What is the value of k ? ​

Answer 1

Answer:

We know that the formula of a triangle =

$\sqrt{s(s - a)(s - b)(s - c)}$

FIND the value of the s=

$\frac{2k + k + 2 + 3k - 2}{ 3}$

$s = 2k$

$area = \sqrt{2k(2k - 2k)(2k - 2 - k)(2k - 3k + 2)}$

Area=0

$2k \sqrt{15} = 0 \\ k = 0$

So final answer is k = 0.