1.

The area of a triangle is 48 cm square. The height of the triangle is 6cm. Calculate the length of the base.

Answer»

Given:

  • Area of a triangle = 48 cm²
  • Height of the triangle = 6 cm

To Find:

  • Length of the BASE = ??

Formula Used:

\boxed{\mathtt{Area\: of\:Triangle=\dfrac{1}{2}(B \times H)}}

Solution:

As we know,

\mathtt{Area_{(Triangle)}=\dfrac{1}{2}(B \times H)}

Where,

B = Base

H = Height

After substituting values,

48cm^2=\dfrac{1}{2}(B \times 6)

After opening BRACKETS, we get:

48=\dfrac{1}{2}\times 6B

After multiplying ½ with 6B,

48= 3B

After transposing 3 from RHS to LHS and changing its sign,

\dfrac{48}{3}= B

After DIVIDING 48 by 3,

16= B

Hence, length of the base of the triangle is 16 cm.



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