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sleet_krkn [62]
3 years ago
13

The height of the isosceles triangle is twice the length of its base what are the coordinates of the undefined vertex ?

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

<u>Answer-</u>

<em>The coordinate of the vertex is </em><em>(7, 12)</em>

<u>Solution-</u>

The coordinates of two end points of the base are, (4, 0), (10, 0)

As the triangle is an isosceles triangle, so the other vertex will be on the perpendicular bisector of the base.

The mid-point of the base is,

=(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2})

=(\dfrac{4+10}{2},\ \dfrac{0+0}{2})

=(\dfrac{14}{2},\ \dfrac{0}{2})

=(7,\ 0)

As given that the length of the height is twice that of the base,

Length of the base is,

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

=\sqrt{(10-4)^2+(0-0)^2}

=\sqrt{(6)^2}

=6

Length of the height will be =6\times 2=12

So the vertex is 12 units vertically up from the mid-point (7, 0). Then the coordinate of the point will be (7, 12)

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Simplify 4 + 10 ÷ (–2).
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3 years ago
What the answer for this ? :/
goblinko [34]
Hello there! I can help you! In order to answer those questions, we need to plug in the values, based off of the variable.

g. Okay. We are solving b - 10. b = -8. When you subtract something from a negative number, the number is even lower. Let's add the numbers first and then put in the negative symbol. 8 + 10 is 18. Put the negative sign and you get -18. The difference is -18.

h. Now, we solve a - b. a = 5 and b = -8. Because we are subtracting a negative number from a positive, we have to add both numbers, which means the number gets bigger. Ignore the negative sign and add. 5 + 8 is 13. There. The sum is 13.

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3 years ago
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