Advertisements
Advertisements
प्रश्न
In triangle PQR, angle Q = 90°, find: PQ, if PR = 34 cm and QR = 30 cm
उत्तर
Given:
PR = 34 cm
QR = 30 cm
PQ =?
∠PQR = 90°
According to Pythagoras Theorem,
(PR)2 = (PQ)2 + (QR)2
(34)2 = PQ2 + (30)2
1156 = PQ2 + 900
1156 − 900 = PQ2
256 = PQ2
∴ PQ = `sqrt256` = 16 cm
APPEARS IN
संबंधित प्रश्न
In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.
In an isosceles triangle ABC; AB = AC and D is the point on BC produced.
Prove that: AD2 = AC2 + BD.CD.
O is any point inside a rectangle ABCD.
Prove that: OB2 + OD2 = OC2 + OA2.
Find the value of (sin2 33 + sin2 57°)
Triangle PQR is right-angled at vertex R. Calculate the length of PR, if: PQ = 34 cm and QR = 33.6 cm.
In the given figure, ∠T and ∠B are right angles. If the length of AT, BC and AS (in centimeters) are 15, 16, and 17 respectively, then the length of TC (in centimeters) is ______.
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
In a quadrilateral ABCD, ∠A + ∠D = 90°. Prove that AC2 + BD2 = AD2 + BC2
[Hint: Produce AB and DC to meet at E.]
Two rectangles are congruent, if they have same ______ and ______.
In a triangle, sum of squares of two sides is equal to the square of the third side.
