Question

The diagonals of a
square of side 5 cm
are drawn such that 4
identical triangles are
obtained. Find the area
of a triangle.
5 cm​

Answer 1

Answer:

A diagonal divides the square into two congruent right triangles, thus you can use the side of the square to find the length of the diagonal ( which would be the hypotenuse of the right angled triangle).

If the square has the side of s cm then ,

by using pythagorean theorem,

(diagonal)^2 = (side)^2 + (side)^2

which gives

diagonal = (side) X sqrt(2)

here

side = 5 cm therefore,

diagonal = 5 x sqrt(2)

= 5 x 0.707

= 7.07 cm

Answer 2

Answer:

6.25

Step-by-step explanation:

side of triangle=5/2 = 2.5

area of triangle= 1/2 b h