Question

if the hypotenuse is 4 and perpendicular is 3 then what will be the base??
@h31_.m

Answer 1

Answer:

base will be √7

Step-by-step explanation:

1. x2+3^2=4^2
2. x2+9=16
3. x2=16-9
4. x2=7
5. x=±√7
6. x=√7

Answer 2

Given:-

• Hypotenuse = 4cm
• Perpendicular = 3 cm

To find:-

• Base

Solution:-

According to Pythagoras theorem,

$\sf{{(Hypotenuse)}^{2} = {(Perpendicular)}^{2} + {(Base)}^{2}}$

=> $\sf{{(Base)}^{2} = {(Hypotenuse)}^{2} - {(Perpendicular)}^{2}}$

=> $\sf{Base = \sqrt{{(4)}^{2} - {(3)}^{2}}}$

=> $\sf{Base = \sqrt{16 - 9}}$

=> $\sf{Base = \sqrt{7}\: cm}$

Q. What is Pythagoras Theorem?

Answer -> Pythagoras theorem was proposed explicitly by a famous mathematician named Pythagoras who said that in a right angled triangle, The sum of squares of base and perpendicular is equal to the square of the hypotenuse.