# Triangle : corrected 5th grade math exercises in PDF.

The answer key to the math exercises in 5th grade on triangles. Know how to draw a triangle using geometry materials. Use the triangular inequality and draw the circumscribed circle of a triangle in fifth grade.

Exercise 1:

1. Let LNI be a triangle such that :

Calculate the measure of the angle

2. Let SAC be a triangle such that

Calculate the measure of the angle

Exercise 2:

Exercise 3:

Exercise 4:

ACD is an equilateral triangle so its three angles measure 60°.

ACE is an isosceles right triangle so

Then is a flat angle so

And ABC is isosceles at A so its base angles have the same measure.

and the last angle measures :

180-150=30°

Exercise 5:

The triangle MNQ is isosceles with main vertex M and base [NQ].

The triangle PMN is isosceles with main vertex P and base [MN].

The angle measures .

Determine the measure of the angle .

MQN is isosceles at M so the angles at the base are equal.

so

The trangle NPM is isosceles at P so the angles at the base have the same measure.

then

and

Exercise 6:

Consider a triangle MNO, isosceles with main vertex N and base [MO].

We know that . Deduce the measure of and .

The angles at the base have the same measure for an isosceles triangle.

Exercise 7:

Consider an equilateral triangle JKL.

Deduce the measure of its three angles.

the three angles of an equilateral triangle are 60°.

Exercise 8:

Consider a triangle GHI, right-angled at H. We know that = 34°.

Deduce the measure of .

Exercise 9:

Magalie measured the angles DEF with her protractor.

She found = 53°, = 74° and = 54°.

What do you think of his answer? Justify.

Magalie’s measurements are wrong because the sum of the three angles of a triangle is 180°.

Exercise 10:

Consider a triangle ABC. We know that = 28° and = 73°.

Deduce the measure of .

Exercise 11:

What is the measure of angle DEF?

(the opposite angles of a parallelogram have the same measure).

(two angles opposite by the vertex have the same measure).

(the sum of the angles of a triangle is )

Exercise 12:

What is the measure of the angle ADB?

The angle is a flat angle.

Exercise 13:

Exercise 14:

Exercise 16:

The sum of the angles is 180°.

90°+84,7°=174,7°

180°-174,7°=5,3°

So the angle of inclination to the vertical is 5.3°.

## The answers to the exercises on the triangle in 5th grade.

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