Triangles - Aptitude Questions and Answers

View in English View in Hindi

In △ABC, the angle bisector of ∠A cuts BC at E. Find length of AC, if lengths of AB, BE and EC are 9 cm, 3.6 cm and 2.4 cm?

A)

5.4 cm


B)

8 cm


C)

4.8 cm


D)

6 cm



Correct Answer :

6 cm


Explanation :

In △ABC, the angle bisector of ∠A cuts BC at E then according to the angle bisect theorem

AB / AC = BE / EC
9 / AC = 3.6 / 2.4
AC = 9*2.4 / 3.6
AC = 6 cm

Post comment
Cancel
Thanks for your comment.!
Write a comment(Click here) ...
View in English View in Hindi

In a triangle, the length of the opposite side of the angle which measures 45° is 8√2 cm, what is the length of the side opposite to the angle which measures 90°?

A)

16 cm


B)

4√3 cm


C)

8√3 cm


D)

6√3 cm



Correct Answer :

16 cm


Explanation :

△ABC is a right angle triangle
∠B = 90°, ∠C = 45°
∠A = 45° (Angle sum property of △)
AB = BC = 8√2 cm
By Pythagoras theorem,
(AC)2 = (8√2 )2 + (8√2 )2
(AC)2 = 64*2 + 64*2
(AC)2 = 256

AC = 16 cm

In the given figure, ∠CAB = 90° and AD⊥BC. If AC = 85 cm, AB = 1.35 m and BC = 2.25m , then AD=?

A)

61 cm


B)

67 cm


C)

57 cm


D)

51 cm



Correct Answer :

51 cm


Explanation :

In , ∆ BDA ~ ∆ BAC
∠BDA = ∠BAC = 90°
∠B = ∠B (Common)
Therefore, AD/AC= AB/BC
AD/85 = 1.35/2.25
AD = 85*1.35/2.25 = 51

Latest Updates

General Computer Knowledge

What kind of material does ‘IC’ in computers made of?

Physics

The force required to produce an acceleration of 4 m/s2 in an object of mass 9 kg is?

Biology

Some seeds have hooks and spines. It helps the seeds to__________?

Physics

Which of the following modes of heat transfer is faster?

Agriculture

Which of the following reproduces from underground stem?

Botany

Lichens are a symbiotic association of?

Physics

The unit of relative density is?

Problems on Ages

The ages of Gyanendra and Jitendra are in the ratio of 12:7 respectively. After 6 years, the ratio of their ages will be 3:2 respectively . find the difference in their ages?

Time and Work

X can do a piece of work in 20 days, while Y can do in 10 days. If Y worked at it for 8 days,then X can finish the remaining work in______.?

Coding-Decoding

In a certain code, BELIEF is written as AFKKDI. How is SELDOM written in that code?

Ratio and Proportion

Find the mean proportional between 8 and 32 ?

Percentage

A certain company has 120 employees who are engineers. Here, engineers constitute 30% of its work force. How many people are employed in the company?

Probability

From a well-shuffled deck of 52 cards, one card is drawn at random. Find the probability of getting a face card?

Profit and Loss

What percent profit is made by selling an article at a certain price if by selling at 2/3rd of that price, there would be a loss of 30%?

Average

Among five people with monthly income of Rs. 14000, Rs. 25000, Rs. 15000, Rs. 18000 and Rs.49000, how many will have income less than the mean income of the five people?

Problems on Trains

A train 100 meters long moving at a speed of 40 km/hr crosses a train 130 meters long coming from the opposite direction in 6 seconds. Find the speed of the second train?

Permutation and Combination

In how many different ways can the letters of the word ‘DESIGN’ be arranged so that the vowels are at the two ends?

Trigonometry

If sinA= 8/17 and cosA=15/17, then cotA=?