Plane geometry

Triangles

Types of exercises: angles of an isosceles triangle, the Pythagorean theorem, diagonal of a square, special points of a triangle, sides and angles of a triangle - what lies opposite what.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Find the length of the segment

The segment AD is a median of triangle ABC (D is the midpoint of side BC), and S is the centroid of the triangle. |SD| = 2 cm. How long is the segment AS?

2

Compute the length

A square has a side of 24 cm. How long is its diagonal?

3

Compute the length

The legs of a right triangle are 45 cm and 60 cm. How long is the hypotenuse?

4

Give the measure of the angle

In an isosceles triangle a base angle measures 83.5 degrees. What is the apex angle?

5

Choose the angle of the triangle

In triangle ABC: |AB| = 8 cm, |BC| = 17 cm, |AC| = 19 cm. Which angle of the triangle is the largest?

6

Choose where the point lies

Where does the orthocentre of an acute triangle lie?

7

Compute the length

A square has a diagonal of 56√2 cm. How long is its side?

8

Compute the length

In a right triangle the hypotenuse is 12 cm and one leg is 1 cm. How long is the other leg?

9

Give the measure of the angle

In an isosceles triangle the apex angle measures 140 degrees. What is a base angle?

10

Choose the side of the triangle

In triangle ABC the angle at vertex C is 76° and the angle at vertex B is 58°. Which side of the triangle is the longest?

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

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Triangles - exercises with solutions (Plane geometry) | PhiBoard