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In this lesson, we will learn how to find missing lengths in a triangle using the cosine ratios.

Q1:

Find the length of π΄ π΅ giving the answer to two decimal places.

Q2:

Q3:

π΄ π΅ πΆ is a right-angled triangle at π΅ where π΄ π΅ = 2 6 c m and π β π΄ = 6 4 β . Find the length of π΄ πΆ giving the answer to two decimal places.

Q4:

π΄ π΅ πΆ is a right-angled triangle at π΅ where π΄ π΅ = 1 5 c m and π β π΄ = 6 4 β . Find the length of π΄ πΆ giving the answer to two decimal places.

Q5:

π΄ π΅ πΆ π· is a rectangle where the diagonal π΄ πΆ = 4 c m and π β π΄ πΆ π΅ = 2 7 β . Find the length of π΅ πΆ giving the answer to two decimal places.

Q6:

π΄ π΅ πΆ π· is a rectangle where the diagonal π΄ πΆ = 2 2 c m and π β π΄ πΆ π΅ = 7 5 β . Find the length of π΅ πΆ giving the answer to two decimal places.

Q7:

A swimming pool is in the shape of a trapezium. Find the length of one of the equal sides giving the answer to one decimal place.

Q8:

Q9:

π΄ π΅ πΆ is a triangle, where π΄ π΅ = π΄ πΆ , π΅ πΆ = 3 4 c m , and π β π΅ = 4 9 1 3 β² 2 9 β² β² β . Find the length of π΄ π΅ , giving your answer to the nearest centimetre.

Q10:

In the given figure, π β π΅ π΄ πΆ = 9 0 β and π΄ π· β π΅ πΆ . What is π΅ πΆ π c o s ?

Q11:

Find the radius of circle π given π΄ πΆ = 1 4 c m and π β π΄ = 5 0 β . Give the answer to two decimal places.

Q12:

Find the radius of circle π given π΄ πΆ = 7 c m and π β π΄ = 2 8 β . Give the answer to two decimal places.

Q13:

In the given figure, find the length of π΄ πΆ to two decimal places.

Q14:

π΄ π΅ πΆ is an isosceles triangle where π΄ π΅ = π΄ πΆ = 1 0 c m and π β πΆ = 5 2 2 0 β² 2 1 β² β² β . Find the length of π΅ πΆ giving the answer to one decimal place.

Q15:

For the figure given, find π₯ to two decimal places.

Q16:

Find π₯ . Give your answer to two decimal places.

Q17:

π΄ π΅ πΆ is an isosceles triangle where π΄ π΅ = π΄ πΆ = 5 . 8 c m and π β π΅ = 4 8 8 β² 3 2 β² β² β . Find the length of π΅ πΆ giving the answer to one decimal place.

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