Question

For a triangle shown in the figure, side CA is 10 m, angle A and angle C are equal then :
A) side a = side c = 10m
B) side a = side c = 10root 3/3m
C) side a not equal to side c
D) side a = side c = 10/root 2 m ​

Answer 1

Answer:

$option \: c) \: side \: a = side \: c = \: 10 \sqrt{3} \div 3 \: m$

Answer 2

Answer:

The Correct option is B)

Explanation:

Given, sides of triangle

a=3 cm

b=6 cm

c=8 cm

For a triangle to be a right angle triangle, the square of largest side(hypotenuse) should be equal to the sum of squares of the other two sides.

c2=82=64

a2+b2=32+62=9+36=45

Since, a2+b2=c2

Hence, the triangle is not a right-angled triangle.

A right triangle (American English) or right-angled triangle (British), or extra officially an orthogonal triangle , previously referred to as a rectangled triangle[1] (historical Greek: ὀρθόςγωνία, lit. 'upright perspective'),[2] is a triangle wherein one attitude is a proper angle (this is, a ninety-degree angle) or  aspects are perpendicular. The relation among the perimeters and different angles of the right triangle is the basis for trigonometry.

The aspect contrary to the right angle is referred to as the hypotenuse (facet c within the figure). the perimeters adjacent to the right angle are called legs (or catheti, singular: cathetus). aspect a may be recognized as the side adjacent to angle B and against (or contrary) attitude A, whilst side b is the side adjoining to perspective A and opposed to perspective B.

If the lengths of all 3 aspects of a right triangle are integers, the triangle is said to be a Pythagorean triangle and its facet lengths are collectively called a Pythagorean triple.

Thales' theorem states that if A is any point of the circle with diameter BC (except B or C themselves) ABC is a right triangle where A is the proper perspective. The communicate states that if a right triangle is inscribed in a circle then the hypotenuse could be a diameter of the circle. A corollary is that the period of the hypotenuse is twice the space from the right perspective vertex to the midpoint of the hypotenuse. additionally, the center of the circle that circumscribes a right triangle is the midpoint of the hypotenuse and its radius is one half the length of the hypotenuse.

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