Question

the perimeter of a right angle triangle is 30 cm if the hypotenuse is 1 cm more than the perpendicular and it's more than the base find the size of the right angle triangle​

Answer 1

Answer:

Step-by-step explanation:

Let X and Y be the 2 sides. As hypotenuse is 13 and perimeter is 30,

X+Y+13=30, X+Y=30-13, X+Y=17, X=17-Y, by using pythagoras theorem

Y^2+(17-Y)^2=13^2, Y^2+289+Y^2-34Y=169

2Y^2 —34Y + 289 -169 = 0

2Y^2 — 34Y + 120 = 0

Y^2 —17Y + 60 = 0

(Y — 12)×(Y — 5) = 0, So Y is either 12 or 5 or X is either 12 or 5. So the other sides are 12 cm and 5 cm.

Answer 2

Answer:

according to the given information we can conclude that the right angle triangle is also an isoselus triangle

Step-by-step explanation:

perimeter of the triangle =sum of all three sides

let hypo=x+1

perpendicular=x

base=x                                   (isoselus triangle)

x+x+x+1=30

3x=29

x=29/3

area of triangle = 1/2 *29/3 *29/3

=841/18

area= 46.73 cm sq

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