Question

Two sides of a right angled-triangular field are equal. If length of each of them is 45 m, find the area
of the field. Also, find the hypotenuse.​

Answer 1

Step-by-step explanation:

if two sides of right angle triangle are 45 and 45 that is base and perpendicular then the area is equal to half into base into height

1/2X45x45

1012.5

in right angle triangle hypotenuse square is equal to perpendicular square + base square

H^2=P^2+B^2

H^2=45^2+45^2

H^2=4045

H=63.6396

Answer 2

✪SOLUTION✪

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★Given:

  1.Two sides of a right angled-triangular

    field are equal.

  2. Length of each of them is 45m

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★To find :

  1. The area of field

  2. The hypotenuse

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★Let's solve,

 Area of triangle

 = 1/2 × base × height

 = 1/2 × 45m × 45m

 = 1/2 × 2025

 = 1012.5 m²

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Now,

  Let us find hypotenuse

In fig. 0.1,

AC is hypotenuse, AB is base &

BC is height.

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AB = 42 m (Given)

BC = 42 m (Given)

AC = ? (to find)

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So,

According to pythagoras theorem

AC² = AB² + BC²

AC² = 45² + 45²

AC² = 2025 + 2025

AC² = 4050

AC = √4050

AC = 63.63 (Approx)

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Therefore,

Area of field = 1012.5 &

Hypotenuse = 63.63 (Approx)