Question

the area of a triangle is equal to that of a square whose each side measure 70 cm. find the side of a triangle in metres, corresponding to the altitude measures 35 cm.​

Answer 1

Area of the sqaure =

70cm * 70cm

${4900m}^{2}$

Let the side corresponding to the altitude be x

Area of the triangle =

$4900 = \frac{1}{2} \times b \times h \\ 4900 = \frac{1}{2} \times x \times 35 \\ 4900 \times \frac{2}{1} = x \times 35 \\ 9800 = x \times 35 \\ \frac{9800}{35} = x \\ 280 = x$

Base = 280 cm

Base in Meter =

280/100

2.8 meters

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Answer 2

The side of a triangle corresponding to the altitude measures 35 cm is 2.8 m .

Explanation:

Area of square = (side)²

Area of square with sides 70 cm = (70)² = 4900 cm²

Area of triangle = $\dfrac{1}{2}(base)(altitude)$

Let x be the side  in metres, corresponding to the altitude measures 35 cm.​

Then, Area of triangle $=\dfrac{1}{2}(x)(35)=\dfrac{35x}{2}$  cm²

Since , the area of a triangle is equal to that of a square whose each side measure 70 cm.

⇒ $\dfrac{35x}{2}=4900$

⇒ $x=\dfrac{4900\times2}{35}=280$

The side of a triangle corresponding to the altitude measures 35 cm is 280 cm .

In meters , $\dfrac{280}{100}=2.8\ m$  [∵ 1 m= 100 cm]

∴ The side of a triangle corresponding to the altitude measures 35 cm is 2.8 m.

# Learn more :

The area of a triangle is equal to that of a square whose each side measures 60 m. find the side of the triangle whose corresponding altitude is 90 m.

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