Question

For each of these find the area of the shaded square​

Answer 1

Answer:

the answer for the given question is 100cm^2

explanation according to phytogoreas theorem (base)^2+(height)^2=

(hypotenuse)^2

so according to the question 36cm^2+64cm^2=(hypotenuse)^2

So 36+64=100cm^2

So the answer for the given question is 100sq.cm

Answer 2

here it is given the area of two squares.

so the first one area is 36 cm square.

the second one area is 64 cm square.

we know area of square is = side X side

so for first square.

let's take its side length is a.

so aXa = 36

so, a^2=36

a=√36

a= 6 cm

let's take the side of 2ne square is b.

so b^2=64

b=√64

b =8cm.

they togetherly forms a right angle triangle .

by phythagorous theorem

slope = root of 6^2+8^2

= root of 36+64

= √100 = 10cm

so the slope is equals with the side of the third square.

so, the side of the third square is 10 cm. this is the shaded part

so the area is 10X10 cm square

= 100 cm square.