Question

the area of triangle is 528sqaure lenght of its base is 33cm whats height of triangle

Answer 1

Required Answer :

• Height of the triangle = 32 cm

Given :

• Area of the triangle = 528 cm²
• Base of the triangle = 33 cm

To find :

• Height of the triangle

Solution :

Here, we are given the area and base of the triangle and we need to calculate the height of the triangle. So, by using the following formula we will get our required answer.

Formula of area of triangle :-

• Area of triangle = ½ × b × h

where,

• b denotes the base of the triangle
• h denotes the height of the triangle

we have,

• Area = 528 cm²
• Base (b) = 33 cm

Substituting the given values :-

⇒ 528 = ½ × 33 × h

⇒ 528 = 33/2 × h

⇒ 528 × 2/33 = h

Cancelling 176 and 33 by 3 :

⇒ 176 × 2/11 = h

Cancelling 176 by 11 :

⇒ 16 × 2 = h

⇒ 32 = h

Therefore, the height of the triangle = 32 cm

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Knowledge Bytes :-

Perimeter of any type of triangle is the sum of all its sides.

Mathematically,

• Perimeter = a + b + c

where,

• a, b and c denotes the three sides of the triangle

• Area of equilateral triangle = √3/4 a²

where,

• a denotes the side of the triangle

• Semi perimeter of triangle = Perimeter ÷ 2

Answer 2

Given:

• Area of Traingle = 528cm²
• Base of Traingle = 33cm

To Find:

• Height of Traingle

Solution:

Area of Traingle = 1/2 × b × h

Where,

• Base (b) = 33cm
• Height (h) = h cm

➠ 528 = 1/2 × 33 × h

➠ 528/33 = 1/2 × h

➠ 16 = 1/2 × h

➠ h = 16 × 2

➠ h = 32 cm

∴ Height of Traingle is 32cm