Answered

The legs of a right triangle are 5 and 7 cm long, respectively. What is the length of the hypotenuse? If necessary, round your answer to two decimal places.

A12 cm
B9 cm
C4.90 cm
D8.60 cm

Verified Answer :

A squared plus B squared equals C squared, so what you need to do it square 5 and 7.
5 = 25
7 = 48
Then add then and square root your answer. 48 + 25 = 73. 73 square rooted equals an rounded amount of 8.6. SO the answer is D

The length of the hypotenuse is 8.60, which is option d.

What is right angle triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

P = Perpendicular

B = Base

H = Hypotenuse

Pythagoras Theorem  \((H)^2=(P)^2+(B)^2\)

Given,

Legs of the right angle triangle, that means, Base and Perpendicular of the right angle triangle.

5 cm and 7 cm

respectively

By Pythagoras Theorem  \((H)^2=(P)^2+(B)^2\)

\((H)^2=(7)^2+(5)^2\)

\((H)^2=49+25\)

\((H)^2=74\)

\(H=\sqrt{74}\)

\(H= 8.60 cm\)

Hence, The length of the hypotenuse is 8.60.

Learn more about Right angle triangles:

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