Question

area of triangle is 24 cm square if it base measures 6 cm find the length of the hypotenuse​

Answer 1

Answer:

may it help you

Step-by-step explanation:

Then by the Pythagoras theorem

x2+242=252  

Thus

x2=252−242  

So

x2=625−576=49  

Taking Square root on both side

x = 7 cm

Now the area of triangle (say A) is (1/2)*base*height

So

A  =0.5∗24∗7  

Therefore the area of given right angled triangle is 84 sq. cm

Answer 2

Hypotenuse = 10 cm

Step-by-step explanation:

Area of right angled triangle= 1/2×base×height

24 cm square= 1/2×6 cm × height

24=3×height

Height= 24÷3

Height=8 cm

Now, According to Pythagoras theorem

(Hypotenuse) ^2 = (Base) ^2 + (Height) ^2

(Hypotenuse) ^2 = (6) ^2 + (8) ^2

(Hypotenuse) ^2 = 36+64

(Hypotenuse) ^2 = 100

Hypotenuse =√100

Hypotenuse = 10 cm