Question

A field is the form of right triangle with hypotenuse 10 meter and 1 side 8 meter find the area

Answer 1

Answer:

The required area of the field = 24 m²

Given:

A field is in the form of a right triangle with hypotenuse 10m and one side 8m.

Need to find:

The required area of the field = ?

Solution:

Given,

AC = 10 m

AB = 8 m

By Pythagoras theorem,

Bc² = AC² - AB²

Putting the values:

➪BC² = 10 × 10 - 8 × 8

➪BC² = 100 - 64

➪BC² = 36

Therefore:

BC = 6 m

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Formula used here:

Area of ∆ABC = ½ × Base × Height

Putting the values:

➜ Area of ∆ABC = ½ × BC × AB

➜ Area of ∆ABC = ½ × 6 × 8

➜ Area of ∆ABC = 24 m²

Therefore:

The required area of the field is 24 m².