Question

find the altitude of triangle whose base is 20 and area is 150 cm²​

Answer 1

Step-by-step explanation:

Area of a Triangle = (base × Altitude) ÷ 2

150 = ( 20 × Altitude) ÷ 2

150 × 2 = Altitude ×20

300 ÷ 20 = Altitude

15 cm = Altitude

Answer 2

Given :-

• Shape = Triangle
• Area of the Triangle = 150cm²
• Base of the Triangle = 20cm

To Find :-

• Height of the Triangle

Solution :-

➞ Area of Triangle = ½ × Base × Height

➞ 150 = ½ × 20 × Height

➞ 150 × 2 = 20 × Height

➞ 300 = 20 × Height

➞ 300 ÷ 20 = Height

➞ 15cm = Height

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Verification :-

➞ Area of Triangle = ½ × Base × Height

➞ 150 = ½ × 20 × 15

➞ 150 = 10 × 15

➞ 150 = 150

Hence Verified

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Therefore, Height of the Triangle is 15cm

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★ Additional Info :

Formulas Related to Area :

• Area of Square = Side x Side
• Area of Rectangle = Length × Breadth
• Area of Triangle = ½ × base x height
• Area of parallelogram = base x height
• Area of circle = πr²
• Area of Rhombus = ½ × product of its diagonals
• Area of Trapezium = ½ × height × sum of parallel sides
• Area of Polygon = sum of the area of all regions into which it is divided

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