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patriot [66]
3 years ago
8

GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)

Mathematics
2 answers:
Orlov [11]3 years ago
6 0

Given:

The base of the given triangle has two part:

Left( left side of the hypotenuse) = 25

Right ( right side of the hypotenuse) = x

The altitude (h) = 60

To find the value of x.

Formula:

By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

\frac{left}{altitude} =\frac{altitude}{right}

Now,

Putting,

left = 25, altitude = 60 and right = x we get,

\frac{25}{60} =\frac{60}{x}

or, (25)(x )=(60)(60) [ by cross multiplication]

or, x = \frac{3600}{25}

or, x = 144

Hence,

The value of x is 144.

Eva8 [605]3 years ago
6 0

Answer:

<em>x = 144</em>

Step-by-step explanation:

<u><em>Height Theorem </em></u>

<em>60² = 25·x </em>

<em> </em>

<em>3600 = 25x </em>

<em> </em>

<em>x = 3600 : 25 </em>

<em> </em>

<em>x = 144</em>

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