Question

60 cm
65 cm
pythogoras theory ​

Answer 1

Answer- The above question is from the chapter 'Triangles'.

Concept used: Pythagoras Theorem

Pythagoras Theorem is named after a great mathematician, Pythagoras.

It states that in a right angled triangle, the sum of squares of two sides is equal to the square of the third side.

For example, in a right-angled triangle ABC, where ∠B =  90°,

AB² + BC² = AC² [Perpendicular² + Base² = Hypotenuse²]

Given question: Find the length of base when in a right-angled Δ, lengths of other two sides are 60 cm and 65 cm.

Solution: In a right-angled Δ,

Perpendicular (P) = 60 cm

Hypotenuse (H) = 65 cm

Base (B) = ?

Using Pythagoras Theorem,

Perpendicular² + Base² = Hypotenuse²

60² + B² = 65²

B² = 4225 - 3600

B² = 625

B = √625

B = 25 cm

∴ Base of the triangle = 25 cm.

Answer 2

Pythagoras theorem is applicable on right angled triangles. According to this theorem, the sum of perpendicular square and square of its base is equal to the square of the hypotenuse. That is,

P²+B²=H², where P is perpendicular, B is base and H is the hypotenuse of the triangle.

______________________________________________

Given :-

Length of perpendicular =60 m

Length of the hypotenuse =65 m

To Find :-

Length of base

Solution :-

By using Pythagoras theorem,

P²+B²=H²

60²+B²=65²

B²=65²-60²

B²=(65+60)(65-60)

$B = \sqrt{625} \\ B = 25m$

Therefore, the length of the base is 25 m.