community around the world.

Activity Discussion Math Pythagoras theorem

• # Pythagoras theorem

Posted by on June 23, 2023 at 2:18 pm

A right angled triangle having base as 6 cm and the side opposite to right angle is 10 cm. Find the height of the right angled triangle.

replied 9 months, 4 weeks ago 5 Members · 4 Replies
• 4 Replies
• ### Manish

Member
June 23, 2023 at 2:28 pm
1

To find the height of a right-angled triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the base of the triangle is 6 cm, and the side opposite the right angle is 10 cm. Let’s denote the height as ‘h’.

According to the Pythagorean theorem:

(base)^2 + (height)^2 = (hypotenuse)^2

Substituting the known values:

6^2 + h^2 = 10^2

36 + h^2 = 100

h^2 = 100 – 36

h^2 = 64

Taking the square root of both sides:

h = âˆš64

h = 8 cm

Therefore, the height of the right-angled triangle is 8 cm.

• ### Shruti

Member
June 23, 2023 at 2:31 pm
1

According to the given question,

base = 6cm

hypotenuse= 10cm (as opposite to right angle)

Height=
h=root(C2âˆ’b2)â€‹
h=root(10squareâˆ’6squareâ€‹)

h=root(100-36)

h=root(64)

h=8cm

• This reply was modified 9 months, 4 weeks ago by  Shruti Thakar.
• This reply was modified 9 months, 4 weeks ago by  Shruti Thakar.
• ### Ashutosh

Member
June 23, 2023 at 2:47 pm
0

The Pythagorean theorem states that – “In a right angled triangle, the sum of squares of base and perpendicular is equal to the square of hypotenuse.”

In this question, the hypoetenuse is given 10cm and the base is goven 6cm.

According to pythagorean theorem,

Hypotenuse^2= Base^2 + Perpendicular^2

Therefore,

10^2 = 6^2 + Perpendicular^2

This implies,

100 = 36 + Perpendicular^2

As a result,

Perpendicular^2 = 64

Taking square root on both sides,

Perpendicular = 8cm

Answer: The perpendicular is of 8cm.

• ### Priti

Member
June 23, 2023 at 2:54 pm
0

We know that in a right-angled triangle: (Hypotenuse)Â² = (Perpendicular Height)Â² +(Base)Â²

Given: Base=6cm, and side opposite to right angle triangle is termed as Hypotenuse, therefore, Hypotenuse =10 cm.

(Hypotenuse)Â² = (Perpendicular Height)Â² +(Base)Â²

=> (P)Â² = (H)Â² -(B)Â²

=> (P)Â² = (10)Â² – (6)Â²

=> (P)Â² = 100 -36

=> (P)Â² = 64

=> (P) = âˆš64

=> (P)Â² = 8 cm

Hence, the Height of the right angle triangle = 8 cm

• This reply was modified 9 months, 4 weeks ago by  Priti Ranjan.
Start of Discussion
0 of 0 replies June 2018
Now
+