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  • 1) ABCD is a rhombus in which the altitude from D to side AB bisects AB. Then angle A and angle B respectively are: (Plz explain)

1) ABCD is a rhombus in which the altitude from D to side AB bisects AB. Then angle A and angle B respectively are: (Plz explain)

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Let;side;of;rhombus;be;x\* In; riangle AED ;and; riangle DEB\*angle DEA =angle DEB=90^circ\* ecause DE;is;perpendicular;bisector\* AE=BE=fracx2\* ecause DL;is;common;side\* DL=DL\* herefore riangle AEDcong riangle DEB\* herefore by ;CPCT ;AD=BD=x\* So,; riangle ADB;is;an;equilateral;triangle.\*Rightarrow angle A=60^circ\*ecause sum;of adjacent;angles;in;a;parallelogram;are;180^circ Rightarrow angle B=180^circ-angle A=180^circ-60^circ\*Rightarrow angle B= 120^circ\* So,;angle A;and;angle B;are;60^circ;and;120^circ;respectively

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Deependra Verma

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