EXERCISE 5.6
Name the types of following triangles :
(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm
(b) AABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.
(c) APQR such that PQ = QR = PR = 5 cm.
(d) ADEF with mZD = 90°
(e) AXYZ with mZY= 90° and XY = YZ.
(1) ALMN with mL = 30°, m/M = 70° and m N= 80°
Match the following:
be
Measures of Triangle
Type of
(a) Scal
length
Answers
Answer:
Problem 40.) 1.615g of an
anhydrous salt was
placed in moist air. After a few days, it was
found to be 2.875 g Assuming that complete
hydration has taken place, calculate the
simplest formula of the hydrated salt. The
percentage composition of andydrous salt
is: Zn = 40.6%; S = 19.8% ; O= 39.6%
Question
Name the types of following triangles:
(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.
(b) ΔABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.
(c) ΔPQR such that PQ = QR = PR = 5 cm.
(d) ΔDEF with mZD = 90°
(e) ΔXYZ with mZY= 90° and XY = YZ.
(f) ΔLMN with mL∠ = 30°, mM∠ = 70° and mN∠ = 80°
Answer
We can classify the types of triangles on the basis of sides and angle.
So here on the basis of sides we have three types of triangles ⇒
- Equilateral Triangle ⇒ All three sides are equal.
- Isosceles Triangle ⇒ Two sides are equal.
- Scalene Triangle ⇒ All sides are different.
On the basis of angles we have three types of triangles ⇒
- Acute Angle Triangle ⇒ All angles are acute angle.
- Right Angle Triangle ⇒ It has one right angle.
- Obtuse Angle Triangle ⇒ It has one obtuse angle.
So understanding this, let's solve your question.
(a) All sides are different and thus this is a Scalene Triangle.
(b) All sides are different and thus this is a Scalene Triangle.
(c) All sides are equal and thus this is a Equilateral Triangle.
(d) Since it has one right angle, thus this is a Right Angled Triangle.
(e) Since it has one right angled triangle and it has two sides equal it is a Right Angled Triangle and an Isosceles Triangle.
(f) Since it has all acute angles, thus this is a Acute Angle Triangle.