A point on the hypotenuse of a right tri...

A point on the hypotenuse of a right triangle is at distances a and b from the sides of the triangle. Show that the minimum length of the hypotenuse is `(a^(2/3)+b^(2/3))^(3/2)`

Topper's Solved these Questions

CUET MOCK TEST 2022
XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. show that the maximum length of the hypotenuse is (a^((2)/(3))+b^((2)/(3)))^((3)/(2))

The perimeter of a right angled triangle is 60 cm. The ratio of the sides containing the right angle 5:2:3 What is the length of the hypotenuse

' Prove that the mid-point of the hypotenuse of a right triangle is equidistant from its vertices.

If A be the area of a right triangle and b one of the sides containing the right angle,prove that the length of the altitude on the hypotenuse is (2AB)/(sqrt(b^(4)+4A^(2)))

The length of the two sides of a right-angled triangle are equal Find the length of the hypotenuse

The sides of a right triangle whose hypotenuse is 17cm are and

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions

Evaluate : int0^(pi/4)log(1+tanx)dxdot
Text Solution
|
Find : intx/((x-1)^2(x+2))dx
Text Solution
|
A point on the hypotenuse of a right triangle is at distances a and b ...
Text Solution
|
int[x+2]/[2x^2+6x+5].dx
Text Solution
|
Write the sum of the order and degree of the differential equation 1+...
Text Solution
|
Two schools A and B decided to award prizes to their students for thre...
Text Solution
|
If A=(1 2 3-1)a n dB=(1 3-1 1), write the value of |A B| .
Text Solution
|
Write the differential equation obtained by eliminating the arbitrary ...
Text Solution
|
If vec a and vec b are unit Vectors, then what is the angle betwe...
Text Solution
|
If a line makes angles alpha,beta,gamma with the positive direction of...
Text Solution
|
Find a Vector in the direction of vec a= hat i-2 hat j that has magni...
Text Solution
|
Let A = R × R and * be the binary operation on A defined by (a, b) ...
Text Solution
|
Find the inverse of the matrix A=[1 3 3 1 4 3 1 3 4]
Text Solution
|
If [2x3][1 2-3 0][x3]=O , find x
Text Solution
|
Find the equation of the plane through the line of intersection of the...
Text Solution
|
A bag contains 4 red and 4 black balls, another bag contains 2 red and...
Text Solution
|
One kind of cake requires 200 g of flour and 25 g of fat, and anoth...
Text Solution
|
Using properties of determinants, prove that |[(a+1)(a+2),a+2,1],[(a...
Text Solution
|
Solve the differential equation x^2dy+(x y+y^2)dx=0 given y=1, when x=...
Text Solution
|
Find the particular solution of the differential equation x(dy)/(dx)+y...
Text Solution
|