Question

a field is in the form of a right triangle with hypotenuse 50 and one side 30 metre find the area of the field​

Answer 1

Answer:

the area if the field is 240 sq mt

Step-by-step explanation:

Let the third side be x

the field being in the shape of right angle triangle, we apply pythagoras' theorem,

square if hypotenuse = the sum of the squares of the other two sides

square of 50 = square of 30 + square of x

2500 = 900 + square of x

square if x= 2500 - 900

square of x = 1600

so, x = 400

the shape being right angle, both the sides other tha. the hypotenuse becomes base and height

so,

area of field

= 1/2 x base x height

= 1/2 x 16 x 30

= 240 sq mt

Answer 2

Answer:

600 sq m

Step-by-step explanation:

By Pythagoras Theorem:

H^2 = P^2 + B^2

=> 50^2 = P^2 + 30^2

=> 2500 = P^2 + 900

=> P^2 = 1600

=> P = 40 m

Area = 1/2 × b × h

= 1/2 × 30 × 40

= 15 × 40

= 600 sq m

Hope it Helps!!