Problem 1

Geometry Level 2

The triangle with vertex $(1,5),(-3,1)$ and $(-2,1)$ is -

This problem is part of Math's Planet

Right angle triangle Isosceles triangle None of these Equilateral triangle

2 solutions

Yash Dev Lamba
Mar 1, 2016

Length of sides are $1,$ $\sqrt{32}$ , $5$ . $($ $by$ $distance$ $formula$ $)$

None of these

Mahdi Raza
May 17, 2020

$A = (1,5), B = (-3,1), C = (-2, 1)$

$\begin{cases} AB = \sqrt{\bigg((1) - (-3)\bigg)^2 + \bigg((5) - (1)\bigg)^2 } &= 4\sqrt{2} \\ BC = \sqrt{\bigg((-3) - (-2)\bigg)^2 + \bigg((1) - (1)\bigg)^2 } &= 1 \\ CA = \sqrt{\bigg((-2) - (1)\bigg)^2 + \bigg((1) - (5)\bigg)^2 } &= 5 \end{cases}$

$AB \ne BC \ne CA \implies \color{#D61F06}{\boxed{\text{Scalene Triangle}}}$

Problem 1

2 solutions

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