Question

question 7 of 25
a triangle with sides of lengths 16, 30, and 35 is a right triangle.

a. true

b. false

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\) (where \(c\) is the longest side).

Step2: Calculate squares of sides

\(16^2 = 256\), \(30^2 = 900\), \(35^2 = 1225\).

Step3: Check sum of smaller squares

Sum of \(16^2\) and \(30^2\): \(256 + 900 = 1156\).

Step4: Compare with largest square

\(1156
eq 1225\) (since \(35^2 = 1225\)). So the triangle is not right - angled.

Answer:

B. False