Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

In $straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals$

$s^{4}$
$b^{2} c^{2}$
$c^{2} a^{2}$
$a^{2} b^{2}$

hint Hint:

In this question, we have if $straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis$ . We will find the area of triangle using two methods, height and base and other method using sides. Further equating both the area we will find the required value.

The correct answer is: $a squared b squared$

$In space straight triangle A B C comma space c squared equals a squared plus b squared comma space 2 s equals a plus b plus c A s space i t space i s space t h e space p y t h a g o r a s space t h e o r e m comma space A r e a space o f space t r i a n g l e space equals space 1 half cross times a b space space space _ _ _ _ _ _ _ _ _ _ _ left parenthesis i right parenthesis A l s o comma space a s space s i d e s space a r e space a comma space b space a n d space c S o comma space a r e a space o f space t r i n a g l e space equals square root of s open parentheses s minus a close parentheses open parentheses s minus b close parentheses open parentheses s minus c close parentheses end root rightwards double arrow increment squared space equals s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis space space space _ _ _ _ _ _ _ _ _ _ left parenthesis i i right parenthesis M u l t i p l y i n g space 4 space o n space b o t h space t h e space s i d e s comma rightwards double arrow 4 increment squared space equals 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis F r o m space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t colon rightwards double arrow 4 increment squared space equals 4 open parentheses fraction numerator a b over denominator 2 end fraction close parentheses squared equals space a squared b squared S o comma space 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals a squared b squared$

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.