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
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.
PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
In triangle ABC, angle A = 90o, CA = AB and D is the point on AB produced.
Prove that DC2 - BD2 = 2AB.AD.
Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.
A right triangle has hypotenuse p cm and one side q cm. If p - q = 1, find the length of third side of the triangle.
In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 = AD2 + BC x DE + `(1)/(4)"BC"^2`
Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a right-angled triangle.
In a right angled triangle, if length of hypotenuse is 25 cm and height is 7 cm, then what is the length of its base?
A right-angled triangle may have all sides equal.
