# 10th Grade Cosine Law (Nikoleta Simeonova)

10 Questions | Total Attempts: 112  Settings  For your "fill in the blanks" answers, please use the following pattern: _ cm, _ cm Example: 1 cm, 2 cm

• 1.
Given ABCD - circumscribed quadrilateral. Two of the adjacent sides are 5 cm and 12 cm, they are also perpendicular to each other. Find the other sides if the angle between them is 60 degrees.
• 2.
The following identity is true or false:
• A.

True

• B.

False

• 3.
The following identity is true or false:
• A.

True

• B.

False

• 4.
The following identity is true or false:
• A.

True

• B.

False

• 5.
Given an equilateral triangle ABC with a side 3 cm. The equilateral triangle DEF is inscribed in ABC, DE= cm, D lies on AB. Find the lengths of the line segments AD and DB.
• 6.
Given an equilateral triangle ABC with a side 6 cm. Point M lies on AB, so that the distance between M and the nearest vertex of the triangle is 1 cm. Find the distance between M and the centroid of ABC.
• A.
• B.
• C.
• D.

6

• 7.
Given a triangle ABC with sides 5 cm and 10 cm. The median to the third side is with 2,5 cm shorter than the third side. Find the third side.
• 8.
Given a parallelogram ABCD with a perimeter 22 cm. The longer diagonal is 9 cm, the shorter diagonal equals the longer side of ABCD. Find the sides of ABCD.
• A.

4 cm, 7 cm

• B.
• C.
• D.

3 cm, 8 cm

• 9.
Given a parallelogram ABCD with sides 11 cm and 16 cm. From one of the acute angles a perpendicular is dropped on the shorter diagonal. The length of that perpendicular is cm. Find the longer diagonal of ABCD.
• 10.
Given a triangle ABC with sides BC=2 cm, AB=5 cm, AC= cm. Point D lies on AC, so that BD=3 cm. Find CD.
• A.
• B.
• C.
• D. Back to top