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Answered

The area of triangle is 80cm². if the height of the triangle is 6cm less that its base, find the base and its height.

Sagot :

LunoxxxMurphygo

Answer:

The height of the triangle is 10 cm and the base of triangle is 16 cm.

Step-by-step explanation:

Base: x + b

1/2 x × x (x + b)= 80

x= 10

or x = 16

Triangle Angle Formula:

S=1/2 × height × base

Iongitudego

Answer:

Formula = A=1/2bh

> 80=1/2(x-6)x

> 80=1/2(x²-6x)

> 80=1/2x²-3x

> 2(80)=2(1/2x²-3x)

> 160=x²-6x

> x²-6x-160=0

> x²+10x-16x-160=0

> x(x+10)-16(x+10)

> (x+10)(x-16)

Simplify

> x+10=0-10=-10 > x=-10

> x-16=0+16=16 > x=16

And evaluate 16 by (x-6)

> (16-6)

> 10

Therefore the height is 10 and the base is 16

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