Question

Sides of triangle sheet are 5cm 12cm and 13cm find the cost of painting on the sheet at the rate of rs30 percm square

Answer 1

Thus,the cost of painting the sheet is Rs.900...

Answer 2

The cost of painting is ₹900.

Given:

• The sides of the triangle sheet are 5cm, 12cm and 13cm .

To find:

• Find the cost of painting on the sheet at the rate of ₹30 per cm².

Solution:

Formula/concept to be used:

• Pythagoras theorem: Hypotenuse²= Base²+ Perpendicular²
• The sides of triangle, satisfies the Pythagoras theorem is a right triangle.
• Area of triangle=$\bf \frac{1}{2} \times Base \times Height$

Step 1:

Identify the triangle.

Three sides are 5 cm, 12 cm and 13 cm.

The longest side should be hypotenuse and other two are base and perpendicular or vice-versa.

${(13)}^{2} = ( {5)}^{2} + ( {12)}^{2}$

$169 = 25 + 144$

$169 = 169$

So,

Given triangle is right triangle.

Step 2:

Find the area of triangle.

$Ar.(\triangle) = \frac{1}{2} \times 5 \times 12$

$Ar.(\triangle) = 5 \times 6$

$\bf Ar.(\triangle) = 30 \: {cm}^{2}$

The area of the triangle is 30 cm².

Step 3:

Find the cost of painting.

The cost of painting on the sheet at the rate of ₹30 per cm² is $= 30 \times 30$

$= 900$

Thus,

The cost of painting is ₹900.

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