Advertisements
Advertisements
प्रश्न
In the figure below, find the value of 'x'.

Advertisements
उत्तर

In the right-angled triangle LMN,
∠M = 90°
∴ Side LN is the hypotenuse.
According to Pythagoras' theorem,
l(LN)2 = l(LM)2 + l(MN)2
⇒ (x)2 = (7)2 + (24)2
⇒ x2 = 49 + 576
⇒ x2 = 625
⇒ x = `root 625`
⇒ x = 25
∴ The value of x is 25.
संबंधित प्रश्न
Sides of triangle are given below. Determine it is a right triangle or not? In case of a right triangle, write the length of its hypotenuse. 50 cm, 80 cm, 100 cm
PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM2 = QM . MR
In an equilateral triangle ABC, D is a point on side BC such that BD = `1/3BC` . Prove that 9 AD2 = 7 AB2
In the given figure, ABC is a triangle in which ∠ABC> 90° and AD ⊥ CB produced. Prove that AC2 = AB2 + BC2 + 2BC.BD.

Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
A boy first goes 5 m due north and then 12 m due east. Find the distance between the initial and the final position of the boy.
Use the information given in the figure to find the length AD.

Find the Pythagorean triplet from among the following set of numbers.
4, 5, 6
Find the distance between the helicopter and the ship
The hypotenuse (in cm) of a right angled triangle is 6 cm more than twice the length of the shortest side. If the length of third side is 6 cm less than thrice the length of shortest side, then find the dimensions of the triangle.
