Question

A triangle has vertices v (3, 6), n (8,1), and h (1, -1. click on each blank to select a word or phrase to complete the sentence. triangle vnh is because the lengths of are

Answer 1

The triangle VNH is an isosceles triangle because the lengths of sides VH and NH are congruent

How to determine the type of triangle?

The coordinates are given as:

V = (3,6)

N = (8,1)

H = (1,-1)

Calculate the distance between each point using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$VN = \sqrt{(8 -3)^2 + (1 -6)^2}$

$VN = \sqrt{50}$

$VH = \sqrt{(1 -3)^2 + (-1 -6)^2}$

$VH = \sqrt{53}$

$NH = \sqrt{(8 -1)^2 + (1 +1)^2}$

$NH = \sqrt{53}$

Notice that two sides of the triangle are equal.

Hence, the triangle VNH is an isosceles triangle

Read more about isosceles triangle at:

brainly.com/question/1475130

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