Question

The base and height is a triangle are in ratio of 4:5. If it’s area is 1000 m.sq., find its base and height

Answer 1

Answer:

let base = 4x and height =5x

Area of triangle =1/2 × base × height

1/2 ×base×height =1000

1/2×4x×5x=1000

10x=1000

x=1000/10

x=100

base =4x =4×100=400m

height =5x=5×100=500m

Answer 2

Answer:

Step-by-step explanation:

Given:

• The base and the height of a triangle are in ratio 4:5
• The area of the triangle is 1000 m sq.

To find:

The value of the base and height of the triangle

Now,

Let the base of the triangle be 4x m

And let the height of the triangle be 5x m

• The formula used to find the area of a triangle when base and height are given = 1/2 * base * height units sq.

So,

The equation formed is

⇒ 1/2 * base * height = 1000

⇒ 1/2 * 4x * 5x = 1000

⇒ 2x * 5x = 1000

⇒ 10x² = 1000

⇒ x² = 1000 ÷ 10

[∵ By transporting 10 to RHS ]

⇒ x² = 100

⇒ x = 10

[∵ Taking ssquare root to both the sides ]

∴ The value of x is 10

So,

Base = 4x = 4 * 10 = 40 m

And height =  5x = 5 * 10 = 50 m

Hence,

• The base of the triangle is 40m
• And the height of the triangle is 50m

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Verification:

1/2 * base * height

= 1/2 * 40 * 50

= 20 * 50

= 1000 (As same in the given question)

Hence,

Verified.