Advertisements
Advertisements
प्रश्न
In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?
Advertisements
उत्तर
Given that in ΔABC,
∠B=∠C=45°
We have to find longest side
We know that,
Sum of angles in a triangle=180°
⇒∠A+∠B+∠C=180°
⇒∠A+45°+45°=180°
⇒∠A=180°-(45°+45°)=180°-90°=90°
∴ ∠A=90°
APPEARS IN
संबंधित प्रश्न
ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.

ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD.

ΔABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see the given figure). Show that ∠BCD is a right angle.

In Figure AB = AC and ∠ACD =105°, find ∠BAC.

In figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD
If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.
Which of the following statements are true (T) and which are false (F):
Sides opposite to equal angles of a triangle may be unequal
Which of the following statements are true (T) and which are false (F):
The two altitudes corresponding to two equal sides of a triangle need not be equal.
Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm?
O is any point in the interior of ΔABC. Prove that
(i) AB + AC > OB + OC
(ii) AB + BC + CA > OA + QB + OC
(iii) OA + OB + OC >` 1/2`(AB + BC + CA)
Which of the following statements are true (T) and which are false (F)?
Sum of any two sides of a triangle is greater than twice the median drawn to the third side.
Which of the following statements are true (T) and which are false (F)?
Difference of any two sides of a triangle is equal to the third side.
Which of the following statements are true (T) and which are false (F)?
Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.
Fill in the blank to make the following statement true.
The sum of three altitudes of a triangle is ..... than its perimeter.
In the given figure, the value of x is ______.

The base BC of triangle ABC is produced both ways and the measure of exterior angles formed are 94° and 126°. Then, ∠BAC =
If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer
In ∆PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.
Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.
