Question

The height of a triangle is 2mm less than the base if the area is 60 mm2 find the height and base if the triangle​

Answer 1

Step-by-step explanation:

The height of a triangle

is 2mm less than the base if the area is 60 mm2 find the height and base if the triangle

Answer 2

AnswEr :

• Area of traingle is 60 mm².(Given)

Let us assume that the base be x .

So,

As per question, height will be x - 2 .

Now,

We know that,

$\implies$ Area of traingle = 1/2 × B × H

$\implies$ 60 = 1/2 × x × 2 - x

$\implies$ 60 = 1/2 × x² - 2x

$\implies$ 60 × 2 = x² - 2x

$\implies$ 120 = x² - 2x

$\implies$ x² - 2x - 120 = 0

$\implies$ (x - 12)(x + 10) = 0

$\implies$ x = 12 or x = -10

As area can't be in negative, 12 is the right ans !!

That is,

• Height = x - 2 = 12 - 2 = 10 mm
• Base = x = 12 mm

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