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Diano4ka-milaya [45]
3 years ago
11

GEOMETRY! PLEASE SHOW YOUR WORK.

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 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.

Allisa [31]3 years ago
8 0

Answer:

x = 144

Step-by-step explanation:

Height Theorem

60² = 25·x

3600 = 25x

x = 3600 : 25

x = 144

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