Question

Complete the table for the following triangles. Base 50cm Area 1500 cm square. Then, What is the Height Height = ?​

Answer 1

Answer :-

• The height of the triangle is 60 cm.

To find :-

• The height of the triangle.

Step-by-step explanation :-

• Here, the base and area of a triangle have been given to us. We have to find it's height.

We know that :-

$\underline{\boxed{\sf Area \: of \: a \: triangle = \dfrac{1}{2} \times Base \times Height}}$

Here,

• Base = 50 cm.
• Area = 1500 cm²

• Let the height be h.

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Substituting the given values in this formula,

$\rm1500 = \dfrac{1}{2} \times 50 \times h$

Reducing the numbers,

$\rm1500 = \dfrac{1}{1} \times 25 \times h$

Multiplying 25 with h,

$\rm1500 = \dfrac{1}{1} \times 25h$

Now let's multiply the remaining numbers since we can't reduce them anymore.

$\rm1500 = 1 \times 25h$

Multiplying the numbers,

$\rm1500 = 25h$

Transposing 25 from RHS to LHS, changing it's sign,

$\rm \dfrac{1500}{25} = h$

Dividing 1500 by 25,

$\overline{\boxed{\rm60 \: cm = h}}$

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• So, the height of the triangle is 60 cm.

Answer 2

Given :

• Area of Triangle = 1500cm²
• Base of Triangle = 50cm

To Find :

• Height of Triangle

Solution :

✰ As we know that, Area of Triangle is given by ½ × Base × Height . Now in this question, Area of the Triangle along with the Base of the Triangle are given , so we will substitute the given values in the formula to find the height of the Triangle.

⠀⠀

⠀⠀⟼⠀⠀Area = ½ × Base × Height

⠀⠀⟼⠀⠀1500 = ½ × 50 × Height

⠀⠀⟼⠀⠀1500 × 2 = 50 × Height

⠀⠀⟼⠀⠀3000 = 50 × Height

⠀⠀⟼⠀⠀3000/50 = Height

⠀⠀⟼⠀⠀300/5 = Height

⠀⠀⟼⠀⠀60cm = Height

⠀

Thus Height of the Triangle is 60cm

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