1.

The base of a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.

Answer»

We are given with a right-angled triangle whose measures are

Base = 48 cm

Hypotenuse = 50 cm

Using Pythagoras Theorem:

Hypotenuse2 = Base2 + Perpendicular2

502 = 482 + Perpendicular2

or Perpendicular2 = 2500 – 2304

or Perpendicular = 14 cm

Now,

Area of a triangle = 1/2 × Base × Height

= 1/2 × 48 cm × 14 cm

= 336 cm2



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