In the picture, the perpendicular is drawn from the midpoint of the hypotenuse of a right triangle to the base.

Calculate the length of the third side of the large right triangle and the lengths of all three sides of the small right triangle.

Question

Philoid · Accepted Answer

Let a right angled triangle DEF,

H and G are mid points of DF, DE respectively

Here by pythagorous,

Since H and G are mid-points of DF, DE respectively. We can have

By pythagorous theorem,

Hence length of third side of larger triangle is 6cm

And 3cm, 4cm, 5cm are lengths of sides of smaller triangle.

In the picture, the perpendicular is drawn from the midpoint of the hypotenuse of a right triangle to the base.Calculate the length of the third side of the large right triangle and the lengths of all three sides of the small right triangle.