If the sides of a right-angled triangle are i | vedclass

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

Question

(C) Let the sides of the right-angled triangle be $(a-d)$,$a$,and $(a+d)$ where $d > 0$.Since it is a right-angled triangle,by the Pythagorean theorem

Vedclass · Accepted Answer

$3 : 4 : 5$

Vedclass · Answer

(C) Let the sides of the right-angled triangle be $(a-d)$,$a$,and $(a+d)$ where $d > 0$.Since it is a right-angled triangle,by the Pythagorean theorem,we have $(a-d)^2 + a^2 = (a+d)^2$.Expanding the terms: $a^2 - 2ad + d^2 + a^2 = a^2 + 2ad + d^2$.Simplifying the equation: $a^2 - 4ad = 0$.Since $a 
eq 0$,we get $a = 4d$.Substituting $a = 4d$ into the sides: $(4d-d)$,$4d$,$(4d+d)$,which gives $3d$,$4d$,$5d$.Thus,the ratio of the sides is $3 : 4 : 5$.

If the sides of a right-angled triangle are in an arithmetic progression,then they are in the ratio of.........

Similar Questions

If $a_1, a_2, a_3, \dots, a_n$ are in an arithmetic progression with common difference $d$,then find the value of $\sin d [\csc a_1 \csc a_2 + \csc a_2 \csc a_3 + \dots + \csc a_{n-1} \csc a_n]$.

If the $7^{th}$ term of an $A.P.$ is $40$,then the sum of the first $13$ terms is:

If $a$ and $b$ are two numbers,$A$ is the arithmetic mean,and $S$ is the sum of $n$ arithmetic means between $a$ and $b$,then what does $S/A$ depend on?

If $a, b, c, d, e, f$ are in an arithmetic progression,then $e - c = \dots$

The $20^{\text{th}}$ term from the end of the progression $20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots, -129 \frac{1}{4}$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module