Question

A right triangle has legs measuring 15 cm and 20 cm. The altitude of the hypotenuse is 12 cm, The triangle is reflected about its hypotenuse, forming a twodimensional figure. 1) Name the type of 2-D figure formed 2) Evaluate area of the 2-D figure formed

Answer 1

Answer:

In a right triangle two perpendicular legs are 15 cm and 20 cm.

Length of altitude to the hypotenuse =12 cm

The triangle is reflected about it's hypotenuse,

A two dimensional shape is formed which is shown in figure below.

1. The type of 2-D figure formed is Kite.Because in a kite one pair of adjacent sides are equal as well as diagonals bisect each other at right angles.

2. Area of Kite=$2\times\text {Area of right triangle having legs measuring 15 cm and 20 cm}=2 \times \frac{1}{2}\times15\times 20$

=  15 × 20= 300 cm²