Geometry : 02.04.2024

The area of two similar triangles are 324 cm² and 289 cm², respectively. What is the ratio of their corresponding altitudes?

If ΔABC ≅ ΔPQR and ∠ABC = (x + 60)°, ∠PQR = (85 – 4x)°, and ∠ RPQ = (3x + 65)°, then the value of ∠ABC in degree is:

The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?

In ∆ ABC, D and E are points on sides AB and AC, such that DE ΙΙ BC . If AD = x + 3, DB = 2x − 3, AE = x + 1 and EC = 2x − 2, then the value of x is:

If ∆ABC~∆EDF such that AB = 6 cm, DF =16 cm and DE = 8 cm, then the length of BC is:

The circumference of the two circles is 308 cm and 440 cm respectively. What is the difference between their radii?

Given below are some of the measures of the sides and angles of five triangles. Which of the triangles given in the options is NOT congruent to ∆ABC?

The area of a right-angled triangle is 42 cm² . If the length of one of its two sides containing the right angle is 10 cm, find the length of the other side that contain the right angle.

Chords AB and CD of a circle, when produced, meet at the point P. If AB – 6.3 cm, BP – 4.5 cm, and CD – 3.6 cm, then the length (in cm) of PD is

Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at P and Q. ∠TPQ = 42°. ∠PQT (in degrees) is: