Question

construct a right angled triangle whose hypotenuse is 10cm long and one of the legs is 8cm long​

Answer 1

Answer:

P =6

Step-by-step explanation:

H²= P²+b²

10² = p²+ 8²

100 - 64 = P²

P² = 36

P = 6

because The square of P is change into root on 36.

so root 36 change in 6.

Answer 2

Construction of a right angle triangle.

A triangle having hypotenuse 10cm and on of the leg is 8cm.

Fist of all we need to find the length of the base

By Pythagoras theorem :

Base is given by :

→ b = √h² - p²

Where,

• b is the base.
• h denotes the hypotenuse - 10cm.
• p is the one leg of the right angle triangle - 8cm.

So,

→ b = √10² - 8²

→ b = √100 - 64

→ b = √36

→ b = 6cm.

The base is 6cm.

Steps of construction :

Step 1 : Draw a line segment AB of 6cm.

Step 2 : Construct 90° on point A with the help of compass.

Step 3 : Cut an arc of 10cm from the point B where the 90° extends.Name the point as C.

Step 4 : Join the points.

Hence, the required triangle is formed