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arlik [135]
3 years ago
6

A wall is 15 ft. high and 10 ft. from a house.

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer:

=11.35 ft.

Step-by-step explanation:

The ladder, the flat surface the wall and the height up to the window form a trapezium.

The triangle that constitutes of the trapezium has the ladder as the hypotenuse, the distance between the two walls as base and the perpendicular distance from the base of the ladder to the window as height.

The height=20.35 ft-15 ft= 5.35 ft

Distance between the walls=10 ft

Hypotenuse²= base²+height²

H²=b²+h²

=10²+5.35²

=128.6225

H=√128.6225

=11.35 ft.

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The height of a triangle is 4 m less than its base. The area of the triangle is 48 m².What is the length of the base?
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Triangle Area = .5 * base * height

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48 = (.5x + 2) * x

48 = .5x^2 + 2x

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Step-by-step explanation:

The orthocenter is the point of intersection of altitudes of the triangle. The equation for an altitude is the equation of a line through a vertex that is perpendicular to the opposite side.

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A graphing application confirms this result.

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<em>Additional information about the cross multiplication method</em>

For the general form equations ...

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The "cross multiplication method" has you write the array ...

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<em>Additional note</em>

Videos of this method show you writing the array as bcab/egde and using the final equation x/X=y/Y=1/D. The above gets the same result in a more straightforward manner.

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