Question

7. The area of a triangle is equal to the area of a squarc whose each side measures 10 m. Finf
the length of the side of a triangle corresponding to the altitude measuring 5 m.
form of a narallelogram has an area of 432 m2​

Answer 1

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Given

• Ar of △= Ar of sq.
• Side of Square = 10m
• Altitude = 5m

To Calculate

• Side of Triangle

Solution

Area of Square = Side × Side

= 10 × 10

= 100m sq.

Area of Triangle

$\bf \implies \frac{1}{2} \times b \times h = 100 {m}^{2}$

$\bf \implies \frac{1}{2} \times b \times 5 = 100$

$\bf \implies \frac{1}{2} \times b = 100 \div 5$

$\bf \implies \frac{1}{2} \times b = 20$

$\bf \implies b = 20 \times 2$

$\bf \implies b = 40m$

Therefore, Side of Triangle is 40m.

Answer 2

Answer:

Given

Ar of △= Ar of sq.

Side of Square = 10m

Altitude = 5m

To Calculate

Side of Triangle

Solution

Area of Square = Side × Side

= 10 × 10

= 100m sq.

Area of Triangle

{1}{2} \times b \times h = 100 {m}^{2}⟹21×b×h=100m2

{1}{2} \times b \times 5 = 100⟹21×b×5=100

{1}{2} \times b = 100 \div 5⟹21×b=100÷5

{1}{2} \times b = 20⟹21×b=20

b = 20 \times 2⟹b=20×2

b = 40m⟹b=40m

Therefore, Side of Triangle is 40m.