Question

3. The area of a right triangle, whose base is 3 cm, is 6 cm2. Find the other two sides of the
right triangle.​

Answer 1

Answer:

The other two sides are 4cm & 5cm.

Step-by-step explanation:

Question says that,

A triangle having area of 6cm² and base is 3cm.

Find the other two sides of the triangle.

Here, the other two sides refers to the height and hypotenuse of the triangle.

Step 1 : Find the height

We know that,

Area of a triangle = ½ • base • height

But, the area is 6cm² (given)

So, we can say that

→ 6 = ½ • 3 • height

→ height = 4cm.

Step 2 : Find it's hypotenuse

By Pythagoras theorem :

→ (hypotenuse)² = (base)² + (height)²

From the given values :

→ √3² + 4²

→ √9 + 16

→ √25

→ 5cm.

Hypotenuse is 5cm.

Hence, the other two sides are 4cm & 5cm.