Question

The area of a ∆ is1178 cm². The ratio of the base to corresponding altitude is 3:4 . Find the altitude .
Plz.. give right answer only... ​

Answer 1

Correct Question:

The area of a triangle is 1176 cm². The ratio of the base to corresponding altitude is 3:4. Find the altitude.

Given:

• Area of triangle = 1176 cm²

To Find:

• Altitude

Solution:

Let the base be 3x and altitude = 4x.

According to the question:

★ Area of triangle = 1/2 base × height

→ 1176 = 1/2 × 3x × 4x

→ 1176 = 12x²/2

→ 1176 × 2/12 = x²

→ 196 = x²

→ x = 14

Therefore,

• Altitude:- 4x = 14 × 4 = 56

Hence,

• Altitude = 56

Answer 2

Correct Question

• The area of a triangle is 1176 cm². The ratio of the base to corresponding altitude is 3:4. Find the altitude.

⠀

Given

• Area of the given triangle is 1176 cm².
• Ratio of its base to corresponding altitude is 3:4.

⠀

To find

• The altitude of the triangle.

⠀

Solution

• Let the ratio be x.

⠀

Then,

⠀⠀⠀⠀⠀❍ Base = 3x

⠀⠀⠀⠀⠀❍ Altitude or height = 4x

⠀

We know that,

$\boxed{\tt{\bigstar{Area_{(Triangle)} = \dfrac{1}{2} \times base \times height{\bigstar}}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Area = 1176}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{1}{2} \times 3x \times 4x = 1176}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{1}{\cancel{2}} \times \cancel{12x^2} = 1176}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {6x^2 = 1176}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x^2 = \dfrac{1176}{6}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x^2 = 196}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \sqrt{196}}$

⠀

$\bf:\implies\: \: \: \: \: \: \: \: {x = 14}$

⠀

Hence,

• Altitude = 4x = 56 cm.

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