Question

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answer 1

Answer:

Solution given:

By using Pythagoras law

h²=p²+b²

c²=4.5²+5.3²

c²=48.32

c=√(48.32)

c=6.95 ft

length of hypotenuse is 6.9ft

Answer 2

Answer:

The length of hypotenuse is 6.9 ft.

Step-by-step explanation:

Solution :

Here, we have given that the two sides of triangle are 5.3 ft and 4.5 ft.

Finding the third side of triangle by pythagoras theorem formula :

${\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}$

• $\pink\star$ a = 4.5 ft
• $\pink\star$ b = 5.3 ft
• $\pink\star$ c = ?

Substituting all the given values in the formula to find the third side of triangle :

${\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}$

${\longrightarrow{\sf{{(c)}^{2} = {(4.5)}^{2} + {(5.3)}^{2}}}}$

${\longrightarrow{\sf{{(c)}^{2} = {(4.5 \times 4.5)}+ {(5.3 \times 5.3)}}}}$

${\longrightarrow{\sf{{(c)}^{2} = {(20.25)}+ {(28.09)}}}}$

${\longrightarrow{\sf{{(c)}^{2} = 20.25 + 28.09}}}$

${\longrightarrow{\sf{{(c)}^{2} = 48.34}}}$

${\longrightarrow{\sf{c = \sqrt{48.34} }}}$

${\longrightarrow{\sf{c = 6.95}}}$

${\longrightarrow{\sf{c = 6.9 \: ft}}}$

$\star{\underline{\boxed{\sf{\purple{c = 6.9 \: ft}}}}}$

Hence, the length of hypotenuse is 6.9 ft.

$\rule{300}{2.5}$