Advertisements
Advertisements
Question
In the figure below, find the value of 'x'.
Advertisements
Solution
In the right-angled triangle PQR,
∠Q = 90°
Hence, side PR is the hypotenuse.
According to Pythagoras' theorem,
l(PR)2 = l(QR)2 + l(PQ)2
⇒ (41)2 = (x)2 + (9)2
⇒ 1681 = x2 + 81
⇒ x2 = 1681 − 81
⇒ x2 = 1600
⇒ x2 = (40)2
⇒ x = 40
∴ The value of x is 40.
RELATED QUESTIONS
A man goes 10 m due east and then 24 m due north. Find the distance from the starting point
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
In the given figure, ∆ABC is an equilateral triangle of side 3 units. Find the coordinates of the other two vertices ?
A ladder 13 m long rests against a vertical wall. If the foot of the ladder is 5 m from the foot of the wall, find the distance of the other end of the ladder from the ground.
In a rectangle ABCD,
prove that: AC2 + BD2 = AB2 + BC2 + CD2 + DA2.
Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.
Each side of rhombus is 10cm. If one of its diagonals is 16cm, find the length of the other diagonals.
In a triangle ABC right angled at C, P and Q are points of sides CA and CB respectively, which divide these sides the ratio 2 : 1.
Prove that : 9(AQ2 + BP2) = 13AB2
In a square PQRS of side 5 cm, A, B, C and D are points on sides PQ, QR, RS and SP respectively such as PA = PD = RB = RC = 2 cm. Prove that ABCD is a rectangle. Also, find the area and perimeter of the rectangle.
In the adjoining figure, a tangent is drawn to a circle of radius 4 cm and centre C, at the point S. Find the length of the tangent ST, if CT = 10 cm.
