Question

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and

Answer 1

Right triangle would be the answer your looking for>

Answer 2

Answer:

Option C is the answer.

Step-by-step explanation:

A triangle is given with vertices as D(7,3) E(8,1) and F(4,-1).

Now side DE =  $\sqrt{(7-8)^{2}+(3-1)^{2}$

=$\sqrt{1^{2}+2^{2}}=\sqrt{1+4}=\sqrt{5}$

Side EF =$\sqrt{(8-4)^{2} +(1+1)^{2} } = \sqrt{4^{2}+2^{2} }$

= $\sqrt{16+4}= \sqrt{20}$

Side DF =$\sqrt{(7-4)^{2}+(3+1)^{2} } = \sqrt{3^{2}+4^{2}}$

$=\sqrt{16+9} = \sqrt{25}$

Now for right angle triangle

DF²≡ EF² + DE²

$(\sqrt{5})^{2} + (\sqrt{20})^{2}= 5^{2}$

25 = 25

Therefore, the given triangle is a right angle triangle.

Option C is the answer.