Question

The base of a triangular dile is 2 times the height and its area is 100 sq.ft. Find the
height and base of the tile.​

Answer 1

Solution :

Here , it is mentioned that for a triangular time , the base is twice its height .

The area of the tile is given as 100 square feet .

We need to find the height and base of the tile.

Let us assume that the height of the die is x feet .

So, the base of the die is 2x feet

For any triangular figure ;

Area = ½ × [ Base of triangle ] × [ Corresponding perpendicular subtended to the base ]

=> ½ × [ x ] × [ 2x ]

=> ½ × 2 x²

=> x² .

So,

x² = 100

=> x = 10 feet

Thus , the height of the die becomes 10 feet .

The base is 20 feet .

Answer : The base and height of the triangular die are 20 feet and 10 feet respectively.

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Answer 2

Answer:

Given :-

• The base of a triangular dile is 2 times the height and its area is 100 sq.ft.

To Find :-

• What is the height and base of the tile.

Formula Used :-

★ Area of triangle = 1/2 × Base × Height ★

Solution :-

Let, the height be x

And, the base will be 2x

According to the question by using the formula we get,

⇒ 1/2 × 2x × x = 100

⇒ 1/2 × 2x² = 100

⇒ x² = 100

⇒ x = √100

➠ x = 10 cm

Hence, the required height and base are,

✧ Height = x = 10 cm

✧ Base = 2x = 2 × 10 = 20 cm

∴ The height of a triangular dile is 10 cm and the base of a triangular dile is 20 cm .

Let's Verify :-

↦ 1/2 × 2x × x = 100

↦ 1/2 × 2x² = 100

↦ x² = 100

Put x = 10 we get,

↦ (10)² = 100

↦ 100 = 100

➦ LHS = RHS

Hence, Verified ✔