A right‑angled triangle has legs of 5 cm and 12 cm. Calculate the length of the hypotenuse and the area of the triangle.

hard 4 marks Class 3 · Mathematics · Shapes and Designs

Answer

Hypotenuse = 13 cm, Area = 30 cm

^{2}

The correct answer is Hypotenuse = 13 cm, Area = 30 cm $^{2}$ — Compute the area: $\frac{1}{2} \times 5 \times 12 = 30$ cm $^{2}$ .

Step-by-step solution

Apply Pythagoras theorem: $5^{2} + 1 2^{2} = 25 + 144 = 169$ and $169 = 13$ cm for the hypotenuse.
Compute the area: $\frac{1}{2} \times 5 \times 12 = 30$ cm $^{2}$ .

Common mistake: Using the wrong Pythagoras formula or forgetting the

\frac{1}{2}

factor for area

Concept tested: Right‑triangle hypotenuse & area