6.01 Finding unknown side lengths with Pythagoras' theorem

Interactive practice questions

Consider the right-angled triangle. What equation can we construct from the given information?

$$13^2+x^2=19^2$ 132 + x 2 = 192$

$$13+x=19$ 13 + x = 19$

$$13^2+19^2=x^2$ 132 + 192 = x 2$

$$13+19=x$ 13 + 19 = x$

Easy

< 1min

Which of the following three lengths represent the sides of a right-angled triangle?

Select the two correct answers.

Easy

1min

Consider the right-angled triangle.

Easy

2min

Consider the right-angled triangle.

Easy

1min

solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles

recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity