Question

the Base and height of a triangular field are in the ratio of 3 : 4 and it's area is 1014 cm square find it's base and height​

Answer 1

Answer:

CONCEPT OF AREAS OF TRIANGLES , APPLICATION OF LINEAR EQUATION , SUBSTITUTION METHOD , SQUARE ROOTS METHOD , FOUR FUNDAMENTAL ARITHMETIC OPERATIONS.

Step-by-step explanation:

NOTE :- AR (TRIANGLE) = AREA OF TRIANGLE.

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Answer 2

Given :-

• The Base and height of a triangular field are in the ratio of 3 : 4 and it's area is 1014 cm square

To find :-

• Base and height of triangular field

Solution :-

• Base and height of triangular field are in ratio = 3 : 4

• Area of triangular field = 1014cm²

Let the base 3x then height be 4x

Now,

Area of triangular field = ½ × base × height

→ 1014 = ½ × 3x × 4x

→ 1014 = 3x × 2x

→ 1014 = 6x²

→ x² = 1014/6

→ x² = 169

→ x = √169

→ x = ± 13cm

• Base and height never in negative

→ x = 13 cm

Hence,

• Base of triangular field = 3x = 39cm

• Height of triangle field = 4x = 52cm

More to know :-

• Area of circle = πr²
• Circumference of circle = 2πr
• Perimeter of rectangle =2(l + b)
• Perimeter of square = 4 × side
• Area of square = side × side
• Area of rhombus = ½ × product of diagonals
• Area of Parallelogram = base × height
• Area of trapezium = ½ × sum of parallel sides × height