In the adjoining figure,AB=AC and D is the mid-point of BC
- State the three pairs of equal parts in 🔺ADB and 🔺ADC.
- Is 🔺ADB=🔺ADC? Give resons ?
- Is angle B=C?Why?
urgent
the three equal parts are-
AD = AD (REASON- COMMON SIDE)
AB = AC (REASON- GIVEN IN THE QUESTION.)
BD = CD (REASON - AS D IS THE MIDPOINT OF BC.)
YES TRIANGLE ADB = TRIANGLE ADC BY SSS(SIDE SIDE SIDE) CONGRUENCY CRITERION.
YES ANGLE B=C AS TRIANGLE ABC IS AN ISOSCELES TRIANGLE AND IN AN ISOSCELES TRIANGLE THE OPPOSITE ANGLES OF THE EQUAL SIDES ARE EQUAL.
AD = AD (REASON- COMMON SIDE)
AB = AC (REASON- GIVEN IN THE QUESTION.)
BD = CD (REASON - AS D IS THE MIDPOINT OF BC.)
YES TRIANGLE ADB = TRIANGLE ADC BY SSS(SIDE SIDE SIDE) CONGRUENCY CRITERION.
YES ANGLE B=C AS TRIANGLE ABC IS AN ISOSCELES TRIANGLE AND IN AN ISOSCELES TRIANGLE THE OPPOSITE ANGLES OF THE EQUAL SIDES ARE EQUAL.