Question
In the question below there are three statements
followed by two conclusions I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts. Statements: Some height is weight Mostly weight is scale All scale is distance Conclusions: I. Some distance is height II. Some distance is weightSolution
Some height is weight (I) + Mostly weight is scale (I) → No conclusion. Hence conclusion I does not follow. Mostly weight is scale (I) + All scale is distance (A) → Some weight is distance (I) → conversion → Some distance is weight (I). Hence conclusion II follows.
If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?
I. XY = AB
II. ∠X = ∠A
∠A, ∠B, and∠C are three angles of ∆ABC.if ∠A-∠B=15°, ∠B-∠C =30°,then ∠ A, ∠B and ∠C are?
In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...If two triangles JKL and MNO are congruent, then which of the following statement(s) is/are true?
I. JK = MN
II. ∠JKL = ∠MNO
Two sides of a triangle are 10 cm and 15 cm. Which of the following can be the third side of the triangle?
- Two triangles ACB and PQR are similar to each other. If AC = 8 cm, PQ = 12 cm and PR = 16.8 cm, then find the length of AB.
- The base of a right pyramid is an equilateral triangle with side 12 cm. If the height of the pyramid is 40√3 cm, calculate the volume of the pyramid.
- What is the average of the first eight triangular numbers?
In a right-angled triangle, the two perpendicular sides are 9 cm and 12 cm. What is the radius of the incircle of the triangle?