Answer:
It is the second triangle.
Step-by-step explanation:
This is because the area of the square is given as 25^2 as the perpendicular, 144^2 as the base, and the hypotenuse is 169^2.
Length of the perpendicular = 5^2 (Because 25^2 / 5^2)
Length of the base = 12^2
Length of the hypotenuse = 13^2
So, the Pythagoras theorem is,
=>
=>
This is true, because, 13*13 = 12*12 + 5*5
=> 169 = 144 + 25
=> 169 = 169
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Answer:
C
Step-by-step explanation:
To make it easy let's start by organizing our information :
What do you think of when you hear a right triangle ?
AC and BD are khown so let's focus on them .
If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?
Simply because they are the diagonals of a rhombus .
ow let's apply the pythagorian theorem :
Now we khow that : AB=BC=CD=AD=
This isn't enough . Let's try to figure out a way to calculate the length of KL wich is the base of the triangle
I smell something . yes! Thales theorem
Now we have the length of the base kl
Now the big boss the height :
What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D
now the height of the trigle is H= BD-D= 8-2=6
NOw the area of the triangle is :
THE ANSWER IS 18 SQ.UN
Note: Let us consider, we need to find the and
.
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The and
.
Solution:
BD is the angle bisector of ABC. So,
Divide both sides by 2.
Now,
And,
Therefore, and
.