1 of 8 0-day streak

Determine whether three sides form a right-angled triangle

Question 1 of 8

No calculator

For a triangle, the recorded lengths are 63 cm for side A, 16 cm for side B, and 65 cm for side C

Treat the stated side lengths as exact

(a)1 mark

Find the sum of the squares of the two shorter side lengths

Sum of squares (cm²) Format: Exact value

(b)1 mark

Find the square of the longest side length

Square of longest side (cm²) Format: Exact value

Use the two square results to decide whether the triangle is right-angled. Choose the statement with the correct reason

The triangle is right-angled because \(65 < 79\)

The triangle is not right-angled because

\begin{gathered}(63+16)^2\\=6{,}241\\\ne4{,}225\end{gathered}

The triangle is not right-angled because \(65 \ne 79\)

The triangle is right-angled because \(4{,}225 = 4{,}225\)