172k views
2 votes
Pls explain don’t just answer

Pls explain don’t just answer-example-1
User Cherri
by
8.8k points

1 Answer

6 votes

The value of SV is square root of 65.

In a right-angled triangle STU with TV as the perpendicular bisector, we can use the Pythagorean Theorem to find the length of SV:

The Pythagorean Theorem is given by


\[ a^2 + b^2 = c^2 \]

where a and b are the legs of the right-angled triangle, and c is the hypotenuse.

In this case, ST and SU are the legs, and SV is the hypotenuse.


\[ ST^2 + SU^2 = SV^2 \]

Substitute the given values:


\[ 4^2 + 7^2 = SV^2 \]


\[ 16 + 49 = SV^2 \]


\[ 65 = SV^2 \]


\[ SV = √(65) \]

Therefore, SV is the square root of 65.

User Antak
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.