Question

If the hieght of a triangle is 3 times of its base and area is 54cmsquare then find its base height

Answer 1

Answer:

let the height of a triangle  be h and base be b

h = 3 b

area = 1/ 2 * b * h

54 = 1/2 * b * 3b

108 = 3 b²

108 / 3 = b²

36 = b²

6 cm = b ( answer )

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Answer 2

Your Answer:

Given:-

$\rightarrow \tt \: h = 3b \\ \\ \rightarrow \tt \: area = 54 {cm}^{2}$

To find:-

$\tt \frac{1}{2} \times b \times h = 54 {cm}^{2} \\ \rightarrow \tt \frac{1}{2} \times b \times 3b = 54 {cm}^{2} \\ \rightarrow \tt \: 3 {b}^{2} = 108 {cm}^{2} \\ \rightarrow \tt {b}^{2} = 36 \\ \rightarrow \tt b = 6cm$

So,

$\tt h=3b \\ \tt \rightarrow</p><p>h=3(6) \\ \tt \rightarrow</p><p>h=18cm$

So, height is 18cm and base is 6cm

Concepts Used:

• Mathematical Solving
• Area of Triangle (Perimeter and Area)
• Equation Solvings