Question

Pls explain don’t just answer

Answer 1

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.