Advertisements
Advertisements
प्रश्न
If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.
Advertisements
उत्तर
Given the bisectors the base angles of an triangle enclose an angle of `135^@`
i.e., ∠BOC=`135^@`
But, W.K.T
`∠ BOC=90^@+1/2∠B`
⇒ `135^@=90^@+1/2∠A`
⇒`1/2∠A=135^@-90^@`
⇒`∠A=45^@(2)`
⇒`∠A=90^@`
∴ ΔABC is right angled triangle right angled at A.
APPEARS IN
संबंधित प्रश्न
Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle.
In Fig. 10.25, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD.
Compute the value of x in the following figure:
Is the following statement true and false :
A triangle can have at most one obtuse angles.
State, if the triangle is possible with the following angles :
40°, 130°, and 20°
Classify the following triangle according to sides:
The length of the sides of the triangle is given. Say what types of triangles they are 3.7 cm, 3.4 cm, 4 cm.
AB and CD are the smallest and largest sides of a quadrilateral ABCD. Out of ∠B and ∠D decide which is greater.
In the following figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.
Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is point A in its exterior or in its interior?
