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Brums [2.3K]
3 years ago
13

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

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
6 0
Right triangle would be the answer your looking for>
Olin [163]3 years ago
4 0

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.

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