Question

1. The area of an triangle is Equal to
that of a square whose each side measures 40 m. find the side of the
triangle whose corresponding altitude is 80m.​

Answer 1

Answer:

side = 40 m

Step-by-step explanation:

area of triangle = area of square

1/2* side * altitude = side * side

1/2*80*side = 40*40

40*side = 1600

side = 1600/40

side = 40m

Answer 2

$\bold{\Huge{\underline{\boxed{\sf{\orange{ANSWER\::}}}}}}}$

$\bold{\Large{\underline{\sf{\green{Given\::}}}}}$

The area of an triangle is equal to that of a square whose each side measure 40m.

$\bold{\Large{\underline{\sf{\red{To\:find\::}}}}}$

The side of the triangle whose corresponding altitude is 80m.

$\bold{\Large{\underline{\sf{\purple{Explanation\::}}}}}$

We know that formula of the area of square: side×side   [a]²

A/q

Area of triangle = Area of square

A square whose each side measures 40m

→ 40m × 40m

→ 1600m²

We know that formula of the area of triangle:

$\bold{\frac{1}{2} *Base*Height}$   [sq.units]

We have,

Triangle of corresponding altitude,[h]= 80m

→ $\bold{\frac{1}{2} *Base*80m\:=1600}$

→ $\bold{\frac{1}{\cancel{2}} *Base*\cancel{80}m\:=1600}$

→ $\bold{Base*40m\:=\:1600m^{2}}$

→ Base = $\cancel{\bold{\frac{1600m^{2} }{40m} }}$

→ Base = 40m

Thus,

The side of the triangle is 40m.