Question

The area of a triangle is equal to the area of a square whose each side measures 10 cm.Find the length of the side of a triangle corresponding to the altitude measuring 5 m.

Please tell me with full explanation​

Answer 1

Answer:

side of square =10cm

altitude of triangle =5cm

As per question,

area of triangle =area of square

1/2•b•h=a^2

1/2•b•5cm =10 •10

5/2b=100

b=100•2/5

b=40cm

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{Question :}}}}}$

The area of a triangle is equal to the area of a square whose each side measures 10 cm.Find the length of the side of a triangle corresponding to the altitude measuring 5 cm.

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$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

$\tt Given \begin{cases} \sf{Area \: of \: Square \: = \: Area \: of \: triangle} \\ \sf{Side \: of \: Square \: = \: 10 \: cm} \\ \sf{Height \: of \: Triangle \: = \: 5 \: cm} \end{cases}$

$\rule{200}{1}$

Area of Square :

Use formula for area of square

$\large \bigstar{\boxed{\sf{Area \: = \: (Side)^2}}} \\ \\ \implies {\sf{Area \: = \: (10)^2}} \\ \\ \implies {\sf{Area \: = \: 100}} \\ \\ \large{\underline{\boxed{\sf{Area \: of \: Square \: = \: 100 \: m^2}}}}$

$\rule{150}{0.5}$

Height of Triangle :

As we know that,

Area of Square = Area of Triangle

• Area of Triangle = 100 m²

Now, use formula for Area of Triangle

$\large \bigstar {\boxed{\sf{Area \: = \: \dfrac{1}{2}Base \: \times \: Height}}} \\ \\ \\ \implies {\sf{100 \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: 5}} \\ \\ \implies {\sf{Base \: = \: \dfrac{100 \: \times \: 2}{5}}} \\ \\ \implies {\sf{Base \: = \: \dfrac{200}{5}}} \\ \\ \implies {\sf{Base \: = \: 40}} \\ \\ \large {\boxed{\sf{\therefore \: Base \: is \: of \: 40 \: cm}}}$