Question

The area of a triangle is equal to that of a square whose each side measures 35 cm. Find the side of the triangle
whose corresponding altitude is 28 cm.​

Answer 1

Given that altitude of the triangle = 28cm.

We know that Area of triangle = 1/2 $&times$ base $&times$ altitude

= 1/2 $&times$$x$ $&times$ 28. ------- (1)

Given that area of square measures = 35cm.

We know that Area of square =$s^2$

= 35 $\pink&times$ 35

$\red{= 1225cm^2}$

Given that Area of square = Area of triangle

$1225 = \frac{1}{2} &times x &times28$

$1225 &times 2 = x &times 28$

$2450 = x &times 28$

$x$ = $\frac{2450}{28}$

$x = 87.5 cm$

Therefore the side of the triangle$= 87.5cm$

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Answer 2

Answer:

➼ Base of the triangle = 87.5 cm

Step-by-step explanation:

Given that:

• The area of a triangle is equal to that of a square.
• Each side of square = 35 cm
• Corresponding altitude/height of triangle = 28 cm
• Let the length of base of the triangle be x cm

★ Formula used:

Area of Square = (side)² sq. unit

Area of triangle = ½ × base × height sq. unit

According to question:

Area of triangle = Area of Square

→ ½ × x × 28 = (35)²

→ 14x = 1225

→ x = 1225/14

→ x = 87.5

∴ Base of the triangle = 87.5 cm