Question

In a right- angled triangle, the base of a right angled triangle is 12 cm and its hypotenuse is 13 cm. How do you find the area of the triangle?

Answer 1

In a right- angled triangle, the base of a right angled triangle is 12 cm and its hypotenuse is 13 cm. How do you find the area of the triangle?

Answer 2

It is given that

ABC is a right angled triangle

BC = 12 cm and AB = 13 cm

Using the Pythagoras theorem

AB2 = AC2 + BC2

Substituting the values

132 = AC2 + 122

By further calculation

AC2 = 132 – 122

So we get

AC2 = 169 – 144 = 25

AC = √25 = 5 cm

We know that

Area of triangle ABC = ½ × base × height

Substituting the values

= ½ × 12 × 5

= 30 cm2

Similarly

Perimeter of triangle ABC = AB + BC + CA

Substituting the values

= 13 + 12 + 5

= 30 cm