CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Area of a Triangle

In a triangle...

Question

In a triangle the sum of two sides is $x$ and their product is $y$ such that $(x + z) (x - z) = y$ where $z$ is the third side of the triangle. Square of the length of the third side of the triangle is

A

x^{2} + y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

x^{2} - y

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

x^{2} + y^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

x - y^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $x^{2} - y$
$(x + z) (x - z) = y \Rightarrow x^{2} - z^{2} = y$
$\Rightarrow z^{2} = x^{2} - y$

Suggest Corrections

thumbs-up

0

Similar questions

Q. In a triangle, if the sum of two sides is

x

and their product is

y

(x + z) (x - z) = y

z

is the third side of triangle then the triangle is

In a triangle the sum of two sides is

x

and their product is

y

(x + z) (x - z) = y

z

is the third side of the triangle.

Area of the triangle is :

In a triangle the sum of two sides is

x

and their product is

y

(x + z) (x - z) = y

z

is the third side of the triangle. The inradius of the triangle is :

In a triangle the sum of two sides is

x

and their product is

y

(x + z) (x - z) = y

z

is the third side of the triangle.

Greatest angle of the triangle is :

In a triangle if the sum of two sides is

x

and the product is

y, (x \geq 2 \sqrt{y})

(x + z) (x - z) = y

z

is the third side of the triangle.

On the basis of the above information, answer the following question:

Greatest angle of the triangle is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Area

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Area of a Triangle

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon