The sides of a triangle are in the ratio 1/2 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The ratio of the sides is given as $a : b : c = 1/2 : 1/3 : 1/4$.To simplify this ratio,multiply each term by the least common multiple $(LCM)$ of

Vedclass · Accepted Answer

$72$

Vedclass · Answer

(C) The ratio of the sides is given as $a : b : c = 1/2 : 1/3 : 1/4$.To simplify this ratio,multiply each term by the least common multiple $(LCM)$ of the denominators $(2, 3, 4)$,which is $12$.$a : b : c = (1/2 	imes 12) : (1/3 	imes 12) : (1/4 	imes 12) = 6 : 4 : 3$.Let the sides be $6x, 4x,$ and $3x$.The perimeter of the triangle is the sum of its sides: $6x + 4x + 3x = 156$.$13x = 156$.$x = 156 / 13 = 12$.The largest side corresponds to the largest ratio part,which is $6x$.Largest side $= 6 	imes 12 = 72 	ext{ cm}$.

The sides of a triangle are in the ratio $1/2 : 1/3 : 1/4$ and its perimeter is $156 \text{ cm}$. The length of the largest side is (in $\text{cm}$):

Similar Questions

₹ $11,550$ has to be divided between $X$,$Y$,and $Z$ such that $X$ gets $\frac{4}{5}$ of what $Y$ gets and $Y$ gets $\frac{2}{3}$ of what $Z$ gets. How much more does $Z$ get over $X$ (in ₹)?

When wheat is ₹ $13$ per $kg$,$75$ men can be fed for $15$ $days$ at a certain cost. How many men can be fed for $45$ $days$ at the same cost,when wheat is ₹ $1$ per $kg$?

If $A: B = 2: 3$,$B: C = 4: 5$,and $C: D = 6: 7$,then $A: B: C: D$ is

Find a fourth proportional to the numbers $60, 48, 30$.

The monthly salaries of $A, B$ and $C$ are in the ratio $2: 3: 5$. If $C$'s monthly salary is $Rs. 12000$ more than that of $A$,then $B$'s annual salary is (in $Rs.$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module