Welcome to your GRADE 8 MATHEMATICS CHAPTER 5
After carefully reading the following 30 questions, choose the correct answer.
1.
What is the sum of the three interior angles of any triangle?
2.
The exterior angle of a triangle is equal to the sum of:
3.
In a right-angled triangle, the square of the hypotenuse is equal to:
4.
According to Euclid's Theorem, in a right triangle ABC with altitude CD to the hypotenuse AB, (AC)2 is equal to:
5.
If the sides of a triangle are a,b, and c, and a2+b2=c2, then the triangle is:
6.
In a right triangle, if the altitude CD is drawn to the hypotenuse AB, then (CD)2 is equal to:
7.
If the angles of a triangle are in the ratio 1:2:3, what are the measures of the angles?
8.
Which theorem allows us to calculate the length of a side of a right triangle when two sides are known?
9.
If one acute angle of a right triangle measures 37∘, what is the measure of the other acute angle?
10.
What is the length of the hypotenuse of a right triangle with legs 6 cm and 8 cm?
11.
In Euclid's theorem, if a and b are legs, c is the hypotenuse, and p and q are segments of the hypotenuse, then b2 is:
12.
A triangle has angles 6x,8x, and 10x. What is the value of x?
13.
If an exterior angle of a triangle is 110∘ and one remote interior angle is 40∘, what is the other remote interior angle?
14.
In a right triangle, the side opposite the 90∘ angle is called the:
15.
The converse of Pythagoras' Theorem is used to determine if a triangle is:
16.
If the altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of 4 and 9, what is the length of the altitude?
17.
Which set of side lengths forms a right-angled triangle?
18.
In △ABC, if m(∠A)=50∘ and m(∠B)=60∘, what is the measure of the exterior angle at C?
19.
The sum of two acute angles in a right triangle is:
20.
If h is the altitude to the hypotenuse c, and p,q are the segments of c, Euclid’s theorem states h2=p⋅q. This is also known as:
21.
A ladder 13m long reaches a window 12m high. How far is the foot of the ladder from the wall?
22.
In a triangle, if the exterior angle is 80∘ and the two remote interior angles are equal, each measures:
23.
If a right triangle has legs of a and b, what is the area?
24.
In △ABC right angled at C, if AC=5 and BC=12, what is AB?
25.
If an isosceles right triangle has a hypotenuse of 50, what is the length of each leg?
26.
The sum of an interior angle and its adjacent exterior angle is:
27.
What is the value of x if the angles of a triangle are x,2x, and 2x?
28.
In Euclid's theorem, the altitude to the hypotenuse divides the right triangle into:
29.
If the square of the longest side of a triangle is greater than the sum of the squares of the other two sides, the triangle is:
30.
Which triangle has angles measuring 60∘,60∘,60∘?
