Mathematics: Aboat’s sail is a right triangle. the length of one side of the sail is 7 feet more than the other side. the hypotenuse is 13 feet. find the lengths of the two sides of the sail.

Aboat’s sail is a right triangle. the length of

theoriginalstal4234

09.01.2022

the other two sides are 5 feet and 12 feet

Step-by-step explanation:

Length of one side be x , that means the other side is x + 7

by Pythagoras theorem:

$x^{2}$ + $(x+7)^{2}$ = $13^{2}$

expanding , we have:

$x^{2}$ + $x^{2}$ + 14x + 49 = 169

$2x^{2}$ + 14x + 49 - 169 = 0

$2x^{2}$ + 14x - 120 = 0

divide through by 2 , we have

$x^{2}$ + 7x - 60 = 0

By factorizing , we have

(x - 5)(x+12) = 0

Therefore:

x = 5 or x = -12

Since , the side can not be negative , so

x = 5

That means the other side will be 5+ 7 = 12

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ashlynhenderson0323

11.03.2023

i option is true.

step-by-step explanation:

given that the ellipse has

center at (-4,2)

and covertices are (-7,1) and (-1,1) is true since

a = semi major axis = distance between vertex and centre

= 3 units is satisfied

focus = (ae,0) = (2.65,0) and hence cannot be above or below the centre.

hence ii option is not true.

the directrices must be vertical lines and hence iii option also cannot be true.

so only i option is right.

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