Question

The aea of a triangular medal is 15cm2.if the perpendicular height of the medal is 3cm,what is the length of the base of the medal

Answer 1

Answer -

• The base of the triangular medal = 10 cm.

To find -

• The length of the base of the medal.

Step-by-step explanation -

• Here, the height and area of a triangular medal are given to us. We have to find the length of it's base!

We know that -

$\bigstar \: \underline{\boxed{\sf Area_{(triangle)} = \dfrac{1}{2} \times Base \times Height}}$

Here -

• Area = 15 cm².
• Perpendicular height = 3 cm.

Let -

• The base of the triangle be "b" cm.

Substituting the given values in this formula -

$\bf \dashrightarrow \: 15 = \dfrac{1}{2} \times b \times 3$

$\dashrightarrow \bf \: 15 = \dfrac{1}{2} \times 3b$

$\dashrightarrow \bf \: 15 = \dfrac{3b}{2}$

$\bf \dashrightarrow \: 15 \times 2 = 3b$

$\dashrightarrow \bf \: 30 = 3b$

$\bf \dashrightarrow \: \cancel{\dfrac{30}{3}} = b$

$\dashrightarrow \bf \: 10 \: cm = b$

Hence -

• The base of the triangular medal is 10 cm.

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