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Q.

Calculate the area of the triangle whose base is 10cm and height is 8cm.

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a

40

{cm}^{2}

b

10

{cm}^{2}

c

14

{cm}^{2}

d

32

{cm}^{2}

answer is A.

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Detailed Solution

Concept: The height of triangles is the perpendicular distance from the base to the opposite vertex. Just determine the value of the base of the triangle as 8cm from the question and use the formula of Area of triangle =

\frac{1}{2}

× base ×height. We will substitute the value of base and the height to find the area.
We know that a triangle is a polygon with three sides.
Here the base of the triangle and height of the triangle is given so we will calculate the area of the triangle.
We know that the height of a triangle is the perpendicular distance from the base to the opposite vertex.
We will calculate the area of triangle by using the formula

\frac{1}{2}

×base ×height
By substitute values of base of triangle which s 10cm and height of triangle as 8 cm we get
A=

\frac{1}{2}

×10×8
Now solving the equation, we get
A=

\frac{1}{2}

×80=40
A=40cm2
Hence, the area of the triangle with base of a triangle is 10cm and its height is 8cm is 40cm2.
Hence, the correct answer is option 1.

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