Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right

Question

2 years ago

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Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right

angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.
What is the value of y?

3 StartRoot 3 EndRoot units
6 StartRoot 3 EndRoot units
9 StartRoot 3 EndRoot units
12 StartRoot 3 EndRoot units

Mathematics

1 answer:

Olenka [21] · Answer 1 · 2023-09-23T03:29:53+03:00

The value of y in the triangle is B. 6✓3.

<h3>How to calculate the value?</h3>

From the information given,

NU = 9

UM = 3

MN = 3 + 9 = 12

NT² = 9 × 12 = 108

NT = ✓108

NT = 6✓3

Therefore, y is 6✓3.

The value of y in the triangle is 6✓3.

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