# Category: mc9cs_anglestriangles

#### ABCD is a Rhombus. DPR and CBR are straight lines. Prove that: DP.CR=DC.PR

ABCD is a rhombus. DPR and CBR are straight lines. Prove that: DP.CR=DC.PR Solution: DP.CR=DC.PR Given ABCD is rhombus . DPR and CBR are straight lines.∴ AD||CR we need to…

#### In triangle ABC, AB > AC. | E is the mid-point of BC | and AD is perpendicular to BC

In triangle ABC, AB > AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that AB2 + AC2 = 2.AE2 + 2.BE2 Solution:In &#x2206 ABD…

#### OP, OQ and OR are drawn perpendiculars to the sides BC, CA and AB of &#x2206 ABC |Prove that AR2 +BP2 +CQ2 = AQ 2 + CP 2+BR2

In the following figure, OP, OQ and OR are drawn perpendiculars to the sides BC, CA and AB respectively of triangle ABC. Prove that AR2 +BP2 +CQ2 = AQ 2…

#### AB = BC and AD is perpendicular to CD. Prove that AC2 = 2.BC. DC

Question:In the figure AB = BC and AD is perpendicular to CD. Prove that AC2 = 2.BC. DC solution :In &#x2206 ADC AC2 = AD2 + DC2 AC2 = AB2…

#### ABCD is a parallelogram | Prove that &#x2206 BCF and &#x2206 DFE are equal in area

ABCD is a parallelogram , a line trhough A cuts DC at oint F and BC produced at E Prove that &#x2206 BCF is equal in area to &#x2206 DFE.…

#### Geometry Sum | ABCD is a square. Prove in each case ∆APD ≅ ∆BPC | Find Angle DPC Angle PCD and Angle PCD |

ABCD is a square and APB is an equilateral triangle. Prove in each case:  1) &#x2206APD ≅ &#x2206BPC    2) Find the angles of &#x2206DPC Solution : First PartGiven &#x2206ABP…