Question

area of triangle is 360 if it base is 15cm long find correspondingly altitudes​

Answer 1

Answer:

Given :-

• Area of triangle => 360 cm²
• Base of triangle => 15 cm

To Find :-

Altitude/Height

Solution :-

As we know that

Area = ½ × Base × Height

Let the height be x

$\sf \: 360 = \dfrac{1}{2} \times 15 \times x$

$\sf \cancel \dfrac{360}{2} = 1 \times 15 \times x$

$\sf \: 180 = 1 \times 15 \times x$

$\sf \: 180 = 15x$

$\sf \cancel \dfrac{180}{15} = x$

$\sf \: 12 = x$

Hence :-

Altitude is 12 cm.

Answer 2

Given :-

• Area of the Triangle = 360cm²
• Base of the Triangle = 15cm

To Find :-

• Height or Altitude of the Triangle .

Solution :-

⇒ Area of Triangle = ½ × Base x Height

⇒ 360 = ½ × 15 x Height

⇒ 360 × 2 = 15 x Height

⇒ 720 = 15 x Height

⇒ 720/15 = Height

⇒ 48cm = Height

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Verification :-

⇒ Area of Triangle = ½ × Base x Height

⇒ 360 = ½ × 15 x 48

⇒ 360 = 15 x 24

⇒ 360 = 360

Hence, Verified

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So, Height of Triangle is 48cm

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