Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
The answer is: A. 20.3
The explanation is shown below:
1. By definition, the sum of the length of the strings (The length of the blue segment and the length of the red segment) is equal to the length of the major axis (The black segment).
2. Based on this, you can write the following expression, where is the length of the blue segment:
3. Now, you must solve for , as following:
4. Therefore, the answer is the option A.
Answer:
The correct options are a and b.
Step-by-step explanation:
It is given that triangle ABC with segment AD drawn from vertex A and intersecting side BC.
Two triangle are called similar triangle if their corresponding sides are proportional or the corresponding interior angle are same.
To prove ΔABC and ΔDBA are similar, we have to prove that corresponding interior angles of both triangle as same.
If segment AD is an altitude of ΔABC, then angle ADB is a right angle.
The opposite angle of hypotenuse is right angle. If segment CB is a hypotenuse, then angle ABC is a right angle.
In triangle ΔABC and ΔDBA
(Reflexive property)
(Right angles)
By AA rule of similarity ΔABC and ΔDBA are similar.
Therefore correct options are a and b.
