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Mathematics 8 Online
OpenStudy (anonymous):

plse help me to solve this

terenzreignz (terenzreignz):

Say we have a triangle...|dw:1366783167510:dw|

terenzreignz (terenzreignz):

It will have three altitudes... this|dw:1366783225483:dw|this|dw:1366783241659:dw|and this|dw:1366783263248:dw|

terenzreignz (terenzreignz):

Catch me so far?

OpenStudy (anonymous):

yes

terenzreignz (terenzreignz):

|dw:1366783316890:dw| |dw:1366783334533:dw||dw:1366783352210:dw|

terenzreignz (terenzreignz):

These three altitudes are different, no?

terenzreignz (terenzreignz):

However, for instance, in this case...|dw:1366783457336:dw| the length 61 serves as a base for this triangle corresponding to the height (altitude) \(h_1\) So the area of this triangle can be expressed \[\huge \frac{bh}2=\frac{61h_1}{2}\]

terenzreignz (terenzreignz):

Agree, @msingh ?

OpenStudy (anonymous):

how 61 serve as a base i have only doubt about base

terenzreignz (terenzreignz):

A base is a side of the triangle that is perpendicular to its height... and since the side measuring 61 is perpendicular to the height (altitude) \(h_1\) then it is the base. So the area of the triangle is \[\huge \frac{61h_1}{2}=939.148\] Now you can solve for \(h_1\)

OpenStudy (anonymous):

okay

terenzreignz (terenzreignz):

Solve for \(h_1\) what do you get?

OpenStudy (anonymous):

h1=30.79

terenzreignz (terenzreignz):

That's strange, I get 30.54...

terenzreignz (terenzreignz):

whoops, a typo... Okay, you are correct @msingh Now...

OpenStudy (anonymous):

its okay bro

terenzreignz (terenzreignz):

Can you get the value of \(h_2\) in a similar fashion?|dw:1366783850231:dw|

OpenStudy (anonymous):

okay one by one i have to take 6 base, ,,35 base and 54 base and find out the height and out of three heights , the greater height will be an answer

terenzreignz (terenzreignz):

Yes. Since you seem to have gotten it, please post your answer when you're done :)

OpenStudy (anonymous):

yeah sure,

OpenStudy (anonymous):

when 35cm is taken then height = 53.66 and when 54cm, then height =34.78

terenzreignz (terenzreignz):

Bingo. So your final answer would be...?

OpenStudy (anonymous):

35cm

terenzreignz (terenzreignz):

^not an altitude.

OpenStudy (anonymous):

srry 53.6

terenzreignz (terenzreignz):

Nicely done :)

OpenStudy (anonymous):

@terenzreignz thanks bro

terenzreignz (terenzreignz):

Call me Terence, and we'll get along splendidly :)

OpenStudy (anonymous):

okay

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