Math, asked by piyusharyan2472, 2 months ago

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

Answers

Answered by HAMMP
3

Step-by-step explanation:

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tejapraveenchowdary: Height=10, Base=20
Answered by ImperialGladiator
8

Answer:

The dimension of the tiles are :

  • Height is 10 feet.
  • Base is 20 feet.

Step-by-step explanation:

Given that,

The base of a triangular tile is 2 times the height.

Here, the base is 2× the height of the triangle- tile . And it's height is 100feet². We need to fund it's height.

Solution :

If we assume the height of the tile as "x" feet.

Then, it's base will be "2x" feet.

We know that,

➪ Area of a triangle = ½ × base × height.

But, the area is 100feet² (given)

And also,

  • height = "x"
  • base = "2x"

So,

→ 100 = ½ · x · 2x

→ 100 = 2x²/2

→ 100 = x²

→ √100 = x

→ 10 = x

Therefore, value of "x" or, the height is 10 feet.

Hence, base will be :

→ 2x

→ 2(10)

→ 20 feet.

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