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GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)

GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)-example-1

2 Answers

2 votes

Answer:

x = 144

Explanation:

Height Theorem

60² = 25·x

3600 = 25x

x = 3600 : 25

x = 144

User Mathsyouth
by
7.6k points
7 votes

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,


(left)/(altitude) =(altitude)/(right)

Now,

Putting,

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


(25)/(60) =(60)/(x)

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

or,
x = (3600)/(25)

or,
x = 144

Hence,

The value of x is 144.

User Thania
by
8.4k points

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